56533368075264 has 264 divisors, whose sum is σ = 172059963825568. Its totient is φ = 18535525539840.

The previous prime is 56533368075241. The next prime is 56533368075319. The reversal of 56533368075264 is 46257086333565.

56533368075264 is a `hidden beast` number, since 5 + 6 + 5 + 3 + 3 + 368 + 0 + 7 + 5 + 264 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13316499 + ... + 17041005.

Almost surely, 2^{56533368075264} is an apocalyptic number.

56533368075264 is a gapful number since it is divisible by the number (54) 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 56533368075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86029981912784).

56533368075264 is an abundant number, since it is smaller than the sum of its proper divisors (115526595750304).

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

56533368075264 is an equidigital number, since it uses as much as digits as its factorization.

56533368075264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724603 (or 3724573 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 63.

The spelling of 56533368075264 in words is "fifty-six trillion, five hundred thirty-three billion, three hundred sixty-eight million, seventy-five thousand, two hundred sixty-four".