56667888230400 has 420 divisors, whose sum is σ = 209924283717522. Its totient is φ = 15111432437760.

The previous prime is 56667888230383. The next prime is 56667888230491. The reversal of 56667888230400 is 403288876665.

It can be written as a sum of positive squares in 3 ways, for example, as 54877515780096 + 1790372450304 = 7407936^2 + 1338048^2 .

It is a super-2 number, since 2×56667888230400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14880784 + ... + 18296816.

Almost surely, 2^{56667888230400} is an apocalyptic number.

56667888230400 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 56667888230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104962141858761).

56667888230400 is an abundant number, since it is smaller than the sum of its proper divisors (153256395487122).

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

56667888230400 is an equidigital number, since it uses as much as digits as its factorization.

56667888230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416081 (or 3416043 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 56667888230400 in words is "fifty-six trillion, six hundred sixty-seven billion, eight hundred eighty-eight million, two hundred thirty thousand, four hundred".