56605521993552 has 640 divisors, whose sum is σ = 197439713049600. Its totient is φ = 15157778448384.

The previous prime is 56605521993551. The next prime is 56605521993571. The reversal of 56605521993552 is 25539912550665.

56605521993552 is a `hidden beast` number, since 5 + 6 + 6 + 0 + 55 + 21 + 9 + 9 + 3 + 552 = 666.

56605521993552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 56605521993552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56605521993551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17003759824 + ... + 17003763152.

It is an arithmetic number, because the mean of its divisors is an integer number (308499551640).

Almost surely, 2^{56605521993552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56605521993552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98719856524800).

56605521993552 is an abundant number, since it is smaller than the sum of its proper divisors (140834191056048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56605521993552 is a wasteful number, since it uses less digits than its factorization.

56605521993552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 109350000, while the sum is 63.

The spelling of 56605521993552 in words is "fifty-six trillion, six hundred five billion, five hundred twenty-one million, nine hundred ninety-three thousand, five hundred fifty-two".