20967913824 has 288 divisors, whose sum is σ = 65623436928. Its totient is φ = 5859110400.

The previous prime is 20967913763. The next prime is 20967913843. The reversal of 20967913824 is 42831976902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21593659 + ... + 21594629.

It is an arithmetic number, because the mean of its divisors is an integer number (227859156).

Almost surely, 2^20967913824 is an apocalyptic number.

20967913824 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 20967913824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32811718464).

20967913824 is an abundant number, since it is smaller than the sum of its proper divisors (44655523104).

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

20967913824 is a wasteful number, since it uses less digits than its factorization.

20967913824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 20967913824 in words is "twenty billion, nine hundred sixty-seven million, nine hundred thirteen thousand, eight hundred twenty-four".