56115037440 has 1512 divisors, whose sum is σ = 256723979904. Its totient is φ = 11496038400.

The previous prime is 56115037417. The next prime is 56115037441. The reversal of 56115037440 is 4473051165.

56115037440 is a `hidden beast` number, since 5 + 61 + 150 + 3 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is a junction number, because it is equal to n+sod(n) for n = 56115037395 and 56115037404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56115037441) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 790352605 + ... + 790352675.

It is an arithmetic number, because the mean of its divisors is an integer number (169790992).

Almost surely, 2^56115037440 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 56115037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128361989952).

56115037440 is an abundant number, since it is smaller than the sum of its proper divisors (200608942464).

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

56115037440 is an equidigital number, since it uses as much as digits as its factorization.

56115037440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 56115037440 in words is "fifty-six billion, one hundred fifteen million, thirty-seven thousand, four hundred forty".