655972605320256 has 1680 divisors, whose sum is σ = 2528188974843840. Its totient is φ = 167104449404928.

The previous prime is 655972605320231. The next prime is 655972605320261. The reversal of 655972605320256 is 652023506279556.

655972605320256 is a `hidden beast` number, since 6 + 5 + 5 + 9 + 72 + 6 + 0 + 532 + 0 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 655972605320193 and 655972605320202.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 29619016575 + ... + 29619038721.

It is an arithmetic number, because the mean of its divisors is an integer number (1504874389788).

Almost surely, 2^{655972605320256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 655972605320256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264094487421920).

655972605320256 is an abundant number, since it is smaller than the sum of its proper divisors (1872216369523584).

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

655972605320256 is a wasteful number, since it uses less digits than its factorization.

655972605320256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22259 (or 22195 counting only the distinct ones).

The product of its (nonzero) digits is 204120000, while the sum is 63.

The spelling of 655972605320256 in words is "six hundred fifty-five trillion, nine hundred seventy-two billion, six hundred five million, three hundred twenty thousand, two hundred fifty-six".