20679492645072 has 240 divisors, whose sum is σ = 59516401456512. Its totient is φ = 6698865438720.

The previous prime is 20679492645061. The next prime is 20679492645157. The reversal of 20679492645072 is 27054629497602.

20679492645072 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 94 + 9 + 26 + 450 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4163374333 + ... + 4163379299.

Almost surely, 2^{20679492645072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20679492645072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29758200728256).

20679492645072 is an abundant number, since it is smaller than the sum of its proper divisors (38836908811440).

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

20679492645072 is a wasteful number, since it uses less digits than its factorization.

20679492645072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 20679492645072 in words is "twenty trillion, six hundred seventy-nine billion, four hundred ninety-two million, six hundred forty-five thousand, seventy-two".