23807468160 has 768 divisors, whose sum is σ = 102651494400. Its totient is φ = 5150822400.

The previous prime is 23807468149. The next prime is 23807468161. The reversal of 23807468160 is 6186470832.

23807468160 is a `hidden beast` number, since 23 + 8 + 0 + 7 + 468 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23807468161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20683585 + ... + 20684735.

It is an arithmetic number, because the mean of its divisors is an integer number (133660800).

Almost surely, 2^23807468160 is an apocalyptic number.

23807468160 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 23807468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51325747200).

23807468160 is an abundant number, since it is smaller than the sum of its proper divisors (78844026240).

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

23807468160 is a wasteful number, since it uses less digits than its factorization.

23807468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 23807468160 in words is "twenty-three billion, eight hundred seven million, four hundred sixty-eight thousand, one hundred sixty".