20022573251664 has 60 divisors (see below), whose sum is σ = 56048438292756. Its totient is φ = 6672637656576.

The previous prime is 20022573251663. The next prime is 20022573251677. The reversal of 20022573251664 is 46615237522002.

20022573251664 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 2 + 5 + 73 + 2 + 516 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13189535427600 + 6833037824064 = 3631740^2 + 2614008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022573251663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15560619 + ... + 16798154.

Almost surely, 2^{20022573251664} is an apocalyptic number.

20022573251664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20022573251664 is an abundant number, since it is smaller than the sum of its proper divisors (36025865041092).

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

20022573251664 is a wasteful number, since it uses less digits than its factorization.

20022573251664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32363084 (or 32363075 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 20022573251664 in words is "twenty trillion, twenty-two billion, five hundred seventy-three million, two hundred fifty-one thousand, six hundred sixty-four".