20972407680 has 1536 divisors, whose sum is σ = 96447283200. Its totient is φ = 4273274880.

The previous prime is 20972407669. The next prime is 20972407693. The reversal of 20972407680 is 8670427902.

It is a super-2 number, since 2×20972407680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 446221417 + ... + 446221463.

It is an arithmetic number, because the mean of its divisors is an integer number (62791200).

Almost surely, 2^20972407680 is an apocalyptic number.

20972407680 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 20972407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48223641600).

20972407680 is an abundant number, since it is smaller than the sum of its proper divisors (75474875520).

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

20972407680 is a wasteful number, since it uses less digits than its factorization.

20972407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 20972407680 in words is "twenty billion, nine hundred seventy-two million, four hundred seven thousand, six hundred eighty".