56225062656 has 1080 divisors, whose sum is σ = 214845412320. Its totient is φ = 14296891392.

The previous prime is 56225062603. The next prime is 56225062681. The reversal of 56225062656 is 65626052265.

56225062656 is a `hidden beast` number, since 56 + 22 + 506 + 26 + 56 = 666.

It is a super-2 number, since 2×56225062656² (a number of 22 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 119 ways as a sum of consecutive naturals, for example, 1519596270 + ... + 1519596306.

Almost surely, 2^56225062656 is an apocalyptic number.

56225062656 is a gapful number since it is divisible by the number (56) 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 56225062656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107422706160).

56225062656 is an abundant number, since it is smaller than the sum of its proper divisors (158620349664).

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

56225062656 is a wasteful number, since it uses less digits than its factorization.

56225062656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 56225062656 in words is "fifty-six billion, two hundred twenty-five million, sixty-two thousand, six hundred fifty-six".