20097165094272 has 576 divisors, whose sum is σ = 72810491120640. Its totient is φ = 5404262768640.

The previous prime is 20097165094247. The next prime is 20097165094379. The reversal of 20097165094272 is 27249056179002.

20097165094272 is a `hidden beast` number, since 2 + 0 + 0 + 97 + 1 + 6 + 509 + 42 + 7 + 2 = 666.

20097165094272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62763697 + ... + 63083087.

It is an arithmetic number, because the mean of its divisors is an integer number (126407102640).

Almost surely, 2^{20097165094272} 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 20097165094272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36405245560320).

20097165094272 is an abundant number, since it is smaller than the sum of its proper divisors (52713326026368).

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

20097165094272 is an equidigital number, since it uses as much as digits as its factorization.

20097165094272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319461 (or 319420 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 20097165094272 in words is "twenty trillion, ninety-seven billion, one hundred sixty-five million, ninety-four thousand, two hundred seventy-two".