20908294479072 has 1728 divisors, whose sum is σ = 83572280064000. Its totient is φ = 4872230092800.

The previous prime is 20908294479067. The next prime is 20908294479073. The reversal of 20908294479072 is 27097449280902.

20908294479072 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 8 + 2 + 94 + 479 + 0 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20908294479073) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10459375929 + ... + 10459377927.

It is an arithmetic number, because the mean of its divisors is an integer number (48363588000).

Almost surely, 2^{20908294479072} is an apocalyptic number.

20908294479072 is a gapful number since it is divisible by the number (22) 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 20908294479072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41786140032000).

20908294479072 is an abundant number, since it is smaller than the sum of its proper divisors (62663985584928).

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

20908294479072 is a wasteful number, since it uses less digits than its factorization.

20908294479072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 20908294479072 in words is "twenty trillion, nine hundred eight billion, two hundred ninety-four million, four hundred seventy-nine thousand, seventy-two".