56975626240 has 208 divisors, whose sum is σ = 148212934128. Its totient is φ = 20898643968.

The previous prime is 56975626219. The next prime is 56975626247. The reversal of 56975626240 is 4262657965.

It can be written as a sum of positive squares in 8 ways, for example, as 658640896 + 56316985344 = 25664^2 + 237312^2 .

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (56975626247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46058902 + ... + 46060138.

Almost surely, 2^56975626240 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 56975626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74106467064).

56975626240 is an abundant number, since it is smaller than the sum of its proper divisors (91237307888).

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

56975626240 is a wasteful number, since it uses less digits than its factorization.

56975626240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 52.

The spelling of 56975626240 in words is "fifty-six billion, nine hundred seventy-five million, six hundred twenty-six thousand, two hundred forty".