56224736870400 has 2160 divisors, whose sum is σ = 239326607005200. Its totient is φ = 12577878835200.

The previous prime is 56224736870387. The next prime is 56224736870431. The reversal of 56224736870400 is 407863742265.

56224736870400 is a `hidden beast` number, since 5 + 6 + 2 + 2 + 473 + 68 + 70 + 40 + 0 = 666.

It is a super-2 number, since 2×56224736870400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 410399539132 + ... + 410399539268.

It is an arithmetic number, because the mean of its divisors is an integer number (110799355095).

Almost surely, 2^{56224736870400} is an apocalyptic number.

56224736870400 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 56224736870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119663303502600).

56224736870400 is an abundant number, since it is smaller than the sum of its proper divisors (183101870134800).

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

56224736870400 is an equidigital number, since it uses as much as digits as its factorization.

56224736870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 56224736870400 in words is "fifty-six trillion, two hundred twenty-four billion, seven hundred thirty-six million, eight hundred seventy thousand, four hundred".