23131564160 has 64 divisors (see below), whose sum is σ = 55410480000. Its totient is φ = 9233955840.

The previous prime is 23131564139. The next prime is 23131564177. The reversal of 23131564160 is 6146513132.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283145 + ... + 355575.

It is an arithmetic number, because the mean of its divisors is an integer number (865788750).

Almost surely, 2^23131564160 is an apocalyptic number.

23131564160 is a gapful number since it is divisible by the number (20) 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 23131564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27705240000).

23131564160 is an abundant number, since it is smaller than the sum of its proper divisors (32278915840).

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

23131564160 is an equidigital number, since it uses as much as digits as its factorization.

23131564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72949 (or 72937 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 23131564160 in words is "twenty-three billion, one hundred thirty-one million, five hundred sixty-four thousand, one hundred sixty".