20772125379264 has 112 divisors (see below), whose sum is σ = 66505712421888. Its totient is φ = 5585781608448.

The previous prime is 20772125379263. The next prime is 20772125379329. The reversal of 20772125379264 is 46297352127702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (20772125379263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 454549224 + ... + 454594919.

Almost surely, 2^{20772125379264} is an apocalyptic number.

20772125379264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20772125379264 is an abundant number, since it is smaller than the sum of its proper divisors (45733587042624).

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

20772125379264 is a wasteful number, since it uses less digits than its factorization.

20772125379264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909144182 (or 909144172 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 57.

The spelling of 20772125379264 in words is "twenty trillion, seven hundred seventy-two billion, one hundred twenty-five million, three hundred seventy-nine thousand, two hundred sixty-four".