656955559656 has 96 divisors (see below), whose sum is σ = 1943473240800. Its totient is φ = 198824296320.

The previous prime is 656955559649. The next prime is 656955559661.

656955559656 is a `hidden beast` number, since 6 + 5 + 6 + 9 + 5 + 5 + 559 + 65 + 6 = 666.

656955559656 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 96310 + ... + 1150298.

It is an arithmetic number, because the mean of its divisors is an integer number (20244512925).

Almost surely, 2^656955559656 is an apocalyptic number.

656955559656 is a gapful number since it is divisible by the number (66) 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 656955559656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971736620400).

656955559656 is an abundant number, since it is smaller than the sum of its proper divisors (1286517681144).

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

656955559656 is a wasteful number, since it uses less digits than its factorization.

656955559656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054799 (or 1054792 counting only the distinct ones).

The product of its digits is 1640250000, while the sum is 72.

The spelling of 656955559656 in words is "six hundred fifty-six billion, nine hundred fifty-five million, five hundred fifty-nine thousand, six hundred fifty-six".