56697009408 has 432 divisors, whose sum is σ = 182195382096. Its totient is φ = 16845373440.

The previous prime is 56697009401. The next prime is 56697009427. The reversal of 56697009408 is 80490079665.

56697009408 is a `hidden beast` number, since 566 + 9 + 70 + 0 + 9 + 4 + 0 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15647007744 + 41050001664 = 125088^2 + 202608^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56697009401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168240216 + ... + 168240552.

Almost surely, 2^56697009408 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 56697009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91097691048).

56697009408 is an abundant number, since it is smaller than the sum of its proper divisors (125498372688).

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

56697009408 is a wasteful number, since it uses less digits than its factorization.

56697009408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 56697009408 in words is "fifty-six billion, six hundred ninety-seven million, nine thousand, four hundred eight".