56737589440 has 112 divisors (see below), whose sum is σ = 155391746112. Its totient is φ = 19328864256.

The previous prime is 56737589417. The next prime is 56737589443. The reversal of 56737589440 is 4498573765.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (56737589443) 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 15 ways as a sum of consecutive naturals, for example, 271014 + ... + 432346.

Almost surely, 2^56737589440 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 56737589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77695873056).

56737589440 is an abundant number, since it is smaller than the sum of its proper divisors (98654156672).

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

56737589440 is a wasteful number, since it uses less digits than its factorization.

56737589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161514 (or 161504 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 58.

The spelling of 56737589440 in words is "fifty-six billion, seven hundred thirty-seven million, five hundred eighty-nine thousand, four hundred forty".