56130782400 has 2016 divisors, whose sum is σ = 271690039296. Its totient is φ = 10644480000.

The previous prime is 56130782381. The next prime is 56130782413. The reversal of 56130782400 is 428703165.

56130782400 is a `hidden beast` number, since 56 + 130 + 78 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×56130782400² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 790574365 + ... + 790574435.

Almost surely, 2^56130782400 is an apocalyptic number.

56130782400 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 56130782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135845019648).

56130782400 is an abundant number, since it is smaller than the sum of its proper divisors (215559256896).

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

56130782400 is a wasteful number, since it uses less digits than its factorization.

56130782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 56130782400 in words is "fifty-six billion, one hundred thirty million, seven hundred eighty-two thousand, four hundred".