23129132160 has 256 divisors, whose sum is σ = 77157826560. Its totient is φ = 5886885888.

The previous prime is 23129132153. The next prime is 23129132219. The reversal of 23129132160 is 6123192132.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3762049 + ... + 3768191.

It is an arithmetic number, because the mean of its divisors is an integer number (301397760).

Almost surely, 2^23129132160 is an apocalyptic number.

23129132160 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 23129132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38578913280).

23129132160 is an abundant number, since it is smaller than the sum of its proper divisors (54028694400).

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

23129132160 is a wasteful number, since it uses less digits than its factorization.

23129132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6255 (or 6243 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 23129132160 in words is "twenty-three billion, one hundred twenty-nine million, one hundred thirty-two thousand, one hundred sixty".