56959044480 has 448 divisors, whose sum is σ = 219886067520. Its totient is φ = 14019194880.

The previous prime is 56959044479. The next prime is 56959044481. The reversal of 56959044480 is 8444095965.

56959044480 is a `hidden beast` number, since 5 + 6 + 9 + 590 + 4 + 4 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56959044479) and next prime (56959044481).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56959044481) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6060585 + ... + 6069975.

It is an arithmetic number, because the mean of its divisors is an integer number (490817115).

Almost surely, 2^56959044480 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 56959044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109943033760).

56959044480 is an abundant number, since it is smaller than the sum of its proper divisors (162927023040).

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

56959044480 is an equidigital number, since it uses as much as digits as its factorization.

56959044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9441 (or 9414 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 56959044480 in words is "fifty-six billion, nine hundred fifty-nine million, forty-four thousand, four hundred eighty".