23407082160 has 480 divisors, whose sum is σ = 92049108480. Its totient is φ = 4816035840.

The previous prime is 23407082143. The next prime is 23407082197. The reversal of 23407082160 is 6128070432.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22970131 + ... + 22971149.

It is an arithmetic number, because the mean of its divisors is an integer number (191768976).

Almost surely, 2^23407082160 is an apocalyptic number.

23407082160 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 23407082160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46024554240).

23407082160 is an abundant number, since it is smaller than the sum of its proper divisors (68642026320).

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

23407082160 is a wasteful number, since it uses less digits than its factorization.

23407082160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 23407082160 in words is "twenty-three billion, four hundred seven million, eighty-two thousand, one hundred sixty".