23930565120 has 1440 divisors, whose sum is σ = 110031457536. Its totient is φ = 4748083200.

The previous prime is 23930565101. The next prime is 23930565157. The reversal of 23930565120 is 2156503932.

23930565120 is a `hidden beast` number, since 2 + 3 + 93 + 0 + 56 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×23930565120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 509160937 + ... + 509160983.

Almost surely, 2^23930565120 is an apocalyptic number.

23930565120 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 23930565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55015728768).

23930565120 is an abundant number, since it is smaller than the sum of its proper divisors (86100892416).

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

23930565120 is a wasteful number, since it uses less digits than its factorization.

23930565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 23930565120 in words is "twenty-three billion, nine hundred thirty million, five hundred sixty-five thousand, one hundred twenty".