56220406107264 has 640 divisors, whose sum is σ = 202604565841920. Its totient is φ = 15107327262720.

The previous prime is 56220406107259. The next prime is 56220406107287. The reversal of 56220406107264 is 46270160402265.

56220406107264 is a `hidden beast` number, since 5 + 6 + 2 + 2 + 0 + 4 + 0 + 610 + 7 + 26 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1814892544 + ... + 1814923520.

It is an arithmetic number, because the mean of its divisors is an integer number (316569634128).

Almost surely, 2^{56220406107264} is an apocalyptic number.

56220406107264 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 56220406107264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101302282920960).

56220406107264 is an abundant number, since it is smaller than the sum of its proper divisors (146384159734656).

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

56220406107264 is a wasteful number, since it uses less digits than its factorization.

56220406107264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32498 (or 32477 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 56220406107264 in words is "fifty-six trillion, two hundred twenty billion, four hundred six million, one hundred seven thousand, two hundred sixty-four".