20258856968256 has 189 divisors, whose sum is σ = 58470218527071. Its totient is φ = 6706538175744.

The previous prime is 20258856968237. The next prime is 20258856968267. The reversal of 20258856968256 is 65286965885202.

The square root of 20258856968256 is 4500984.

It is a perfect power (a square), and thus also a powerful number.

20258856968256 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 8 + 8 + 569 + 6 + 8 + 2 + 56 = 666.

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 26 ways as a sum of consecutive naturals, for example, 18039943311 + ... + 18039944433.

Almost surely, 2^{20258856968256} is an apocalyptic number.

20258856968256 is the 4500984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20258856968256

20258856968256 is an abundant number, since it is smaller than the sum of its proper divisors (38211361558815).

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

20258856968256 is an frugal number, since it uses more digits than its factorization.

20258856968256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 995328000, while the sum is 72.

The spelling of 20258856968256 in words is "twenty trillion, two hundred fifty-eight billion, eight hundred fifty-six million, nine hundred sixty-eight thousand, two hundred fifty-six".