23139768960 has 1920 divisors, whose sum is σ = 113459512320. Its totient is φ = 4379443200.

The previous prime is 23139768959. The next prime is 23139769033. The reversal of 23139768960 is 6986793132.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 23139768897 and 23139768906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 746444145 + ... + 746444175.

It is an arithmetic number, because the mean of its divisors is an integer number (59093496).

Almost surely, 2^23139768960 is an apocalyptic number.

23139768960 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 23139768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56729756160).

23139768960 is an abundant number, since it is smaller than the sum of its proper divisors (90319743360).

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

23139768960 is a wasteful number, since it uses less digits than its factorization.

23139768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 23139768960 in words is "twenty-three billion, one hundred thirty-nine million, seven hundred sixty-eight thousand, nine hundred sixty".