56137601520 has 1440 divisors, whose sum is σ = 261206365056. Its totient is φ = 10510663680.

The previous prime is 56137601459. The next prime is 56137601539. The reversal of 56137601520 is 2510673165.

56137601520 is a `hidden beast` number, since 5 + 61 + 3 + 76 + 0 + 1 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 578738112 + ... + 578738208.

Almost surely, 2^56137601520 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 56137601520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130603182528).

56137601520 is an abundant number, since it is smaller than the sum of its proper divisors (205068763536).

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

56137601520 is a wasteful number, since it uses less digits than its factorization.

56137601520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 56137601520 in words is "fifty-six billion, one hundred thirty-seven million, six hundred one thousand, five hundred twenty".