56485544693760 has 3328 divisors, whose sum is σ = 260686110720000. Its totient is φ = 11517776363520.

The previous prime is 56485544693731. The next prime is 56485544693789. The reversal of 56485544693760 is 6739644558465.

56485544693760 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 5 + 544 + 6 + 9 + 3 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56485544693731) and next prime (56485544693789).

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 76435107471 + ... + 76435108209.

Almost surely, 2^{56485544693760} 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 56485544693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130343055360000).

56485544693760 is an abundant number, since it is smaller than the sum of its proper divisors (204200566026240).

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

56485544693760 is a wasteful number, since it uses less digits than its factorization.

56485544693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 2612736000, while the sum is 72.

The spelling of 56485544693760 in words is "fifty-six trillion, four hundred eighty-five billion, five hundred forty-four million, six hundred ninety-three thousand, seven hundred sixty".