56437765703040 has 256 divisors, whose sum is σ = 180981862237440. Its totient is φ = 14959322112000.

The previous prime is 56437765703027. The next prime is 56437765703051. The reversal of 56437765703040 is 4030756773465.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397459255 + ... + 397601225.

It is an arithmetic number, because the mean of its divisors is an integer number (706960399365).

Almost surely, 2^{56437765703040} 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 56437765703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90490931118720).

56437765703040 is an abundant number, since it is smaller than the sum of its proper divisors (124544096534400).

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

56437765703040 is a wasteful number, since it uses less digits than its factorization.

56437765703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143241 (or 143229 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 57.

The spelling of 56437765703040 in words is "fifty-six trillion, four hundred thirty-seven billion, seven hundred sixty-five million, seven hundred three thousand, forty".