5205268656 has 200 divisors, whose sum is σ = 17270204160. Its totient is φ = 1482696576.

The previous prime is 5205268639. The next prime is 5205268727. The reversal of 5205268656 is 6568625025.

5205268656 is a `hidden beast` number, since 520 + 5 + 2 + 68 + 65 + 6 = 666.

It is a super-3 number, since 3×5205268656³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3981955 + ... + 3983261.

Almost surely, 2^5205268656 is an apocalyptic number.

5205268656 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 5205268656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8635102080).

5205268656 is an abundant number, since it is smaller than the sum of its proper divisors (12064935504).

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

5205268656 is a wasteful number, since it uses less digits than its factorization.

5205268656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 5205268656 is about 72147.5478169563. The cubic root of 5205268656 is about 1733.0631305966.

The spelling of 5205268656 in words is "five billion, two hundred five million, two hundred sixty-eight thousand, six hundred fifty-six".