56135008800 has 720 divisors, whose sum is σ = 226544765832. Its totient is φ = 13436928000.

The previous prime is 56135008799. The next prime is 56135008801. The reversal of 56135008800 is 880053165.

It is an interprime number because it is at equal distance from previous prime (56135008799) and next prime (56135008801).

It can be written as a sum of positive squares in 12 ways, for example, as 312440976 + 55822567824 = 17676^2 + 236268^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×56135008800² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (56135008801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31167900 + ... + 31169700.

Almost surely, 2^56135008800 is an apocalyptic number.

56135008800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56135008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113272382916).

56135008800 is an abundant number, since it is smaller than the sum of its proper divisors (170409757032).

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

56135008800 is a wasteful number, since it uses less digits than its factorization.

56135008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 56135008800 in words is "fifty-six billion, one hundred thirty-five million, eight thousand, eight hundred".