56718236467200 has 2880 divisors, whose sum is σ = 246092505071616. Its totient is φ = 11183063040000.

The previous prime is 56718236467171. The next prime is 56718236467223. The reversal of 56718236467200 is 276463281765.

It is a happy number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 178921881442 + ... + 178921881758.

Almost surely, 2^{56718236467200} is an apocalyptic number.

56718236467200 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 56718236467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123046252535808).

56718236467200 is an abundant number, since it is smaller than the sum of its proper divisors (189374268604416).

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

56718236467200 is a wasteful number, since it uses less digits than its factorization.

56718236467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 56718236467200 in words is "fifty-six trillion, seven hundred eighteen billion, two hundred thirty-six million, four hundred sixty-seven thousand, two hundred".