20957268756900 has 576 divisors, whose sum is σ = 74275310520320. Its totient is φ = 4455685324800.

The previous prime is 20957268756883. The next prime is 20957268756911. The reversal of 20957268756900 is 965786275902.

It is a super-2 number, since 2×20957268756900² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1404352839 + ... + 1404367761.

Almost surely, 2^{20957268756900} is an apocalyptic number.

20957268756900 is a gapful number since it is divisible by the number (20) 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 20957268756900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37137655260160).

20957268756900 is an abundant number, since it is smaller than the sum of its proper divisors (53318041763420).

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

20957268756900 is a wasteful number, since it uses less digits than its factorization.

20957268756900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15604 (or 15597 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 66.

The spelling of 20957268756900 in words is "twenty trillion, nine hundred fifty-seven billion, two hundred sixty-eight million, seven hundred fifty-six thousand, nine hundred".