20413088494272 has 168 divisors, whose sum is σ = 59452285067760. Its totient is φ = 6695658547200.

The previous prime is 20413088494237. The next prime is 20413088494291. The reversal of 20413088494272 is 27249488031402.

20413088494272 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 3 + 0 + 88 + 494 + 2 + 72 = 666.

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 23 ways as a sum of consecutive naturals, for example, 8406354 + ... + 10559022.

Almost surely, 2^{20413088494272} 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 20413088494272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29726142533880).

20413088494272 is an abundant number, since it is smaller than the sum of its proper divisors (39039196573488).

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

20413088494272 is a wasteful number, since it uses less digits than its factorization.

20413088494272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152951 (or 2152938 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 20413088494272 in words is "twenty trillion, four hundred thirteen billion, eighty-eight million, four hundred ninety-four thousand, two hundred seventy-two".