20972564496 has 160 divisors (see below), whose sum is σ = 68242160000. Its totient is φ = 6113428992.

The previous prime is 20972564489. The next prime is 20972564531. The reversal of 20972564496 is 69446527902.

20972564496 is a `hidden beast` number, since 2 + 0 + 9 + 72 + 564 + 4 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8430 + ... + 204978.

It is an arithmetic number, because the mean of its divisors is an integer number (426513500).

Almost surely, 2^20972564496 is an apocalyptic number.

20972564496 is a gapful number since it is divisible by the number (26) 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 20972564496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34121080000).

20972564496 is an abundant number, since it is smaller than the sum of its proper divisors (47269595504).

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

20972564496 is a wasteful number, since it uses less digits than its factorization.

20972564496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196598 (or 196586 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 20972564496 in words is "twenty billion, nine hundred seventy-two million, five hundred sixty-four thousand, four hundred ninety-six".