20698251264 has 360 divisors, whose sum is σ = 66247009920. Its totient is φ = 6193938432.

The previous prime is 20698251263. The next prime is 20698251319. The reversal of 20698251264 is 46215289602.

It is not an unprimeable number, because it can be changed into a prime (20698251263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57655117 + ... + 57655475.

It is an arithmetic number, because the mean of its divisors is an integer number (184019472).

Almost surely, 2^20698251264 is an apocalyptic number.

20698251264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20698251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33123504960).

20698251264 is an abundant number, since it is smaller than the sum of its proper divisors (45548758656).

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

20698251264 is a wasteful number, since it uses less digits than its factorization.

20698251264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 20698251264 in words is "twenty billion, six hundred ninety-eight million, two hundred fifty-one thousand, two hundred sixty-four".