56957429760 has 768 divisors, whose sum is σ = 230211072000. Its totient is φ = 11775836160.

The previous prime is 56957429693. The next prime is 56957429761. The reversal of 56957429760 is 6792475965.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 56957429694 and 56957429703.

It is not an unprimeable number, because it can be changed into a prime (56957429761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286218141 + ... + 286218339.

It is an arithmetic number, because the mean of its divisors is an integer number (299754000).

Almost surely, 2^56957429760 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 56957429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115105536000).

56957429760 is an abundant number, since it is smaller than the sum of its proper divisors (173253642240).

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

56957429760 is a wasteful number, since it uses less digits than its factorization.

56957429760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 60.

The spelling of 56957429760 in words is "fifty-six billion, nine hundred fifty-seven million, four hundred twenty-nine thousand, seven hundred sixty".