56702324390400 has 2880 divisors, whose sum is σ = 232628950794240. Its totient is φ = 13092942643200.

The previous prime is 56702324390399. The next prime is 56702324390401. The reversal of 56702324390400 is 409342320765.

56702324390400 is a `hidden beast` number, since 5 + 6 + 7 + 0 + 232 + 4 + 3 + 9 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (56702324390399) and next prime (56702324390401).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×56702324390400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56702324390401) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 347867020719 + ... + 347867020881.

It is an arithmetic number, because the mean of its divisors is an integer number (80773941248).

Almost surely, 2^{56702324390400} is an apocalyptic number.

56702324390400 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 56702324390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116314475397120).

56702324390400 is an abundant number, since it is smaller than the sum of its proper divisors (175926626403840).

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

56702324390400 is a wasteful number, since it uses less digits than its factorization.

56702324390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 56702324390400 in words is "fifty-six trillion, seven hundred two billion, three hundred twenty-four million, three hundred ninety thousand, four hundred".