56723869440 has 432 divisors, whose sum is σ = 231541180416. Its totient is φ = 12546662400.

The previous prime is 56723869429. The next prime is 56723869457. The reversal of 56723869440 is 4496832765.

56723869440 is a `hidden beast` number, since 56 + 72 + 3 + 86 + 9 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2488495 + ... + 2511185.

Almost surely, 2^56723869440 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 56723869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115770590208).

56723869440 is an abundant number, since it is smaller than the sum of its proper divisors (174817310976).

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

56723869440 is a wasteful number, since it uses less digits than its factorization.

56723869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22756 (or 22739 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 56723869440 in words is "fifty-six billion, seven hundred twenty-three million, eight hundred sixty-nine thousand, four hundred forty".