23456900160 has 280 divisors, whose sum is σ = 83955453120. Its totient is φ = 6216569856.

The previous prime is 23456900143. The next prime is 23456900179. The reversal of 23456900160 is 6100965432.

It is a happy number.

23456900160 is a `hidden beast` number, since 2 + 34 + 569 + 0 + 0 + 1 + 60 = 666.

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 39 ways as a sum of consecutive naturals, for example, 4325931 + ... + 4331349.

It is an arithmetic number, because the mean of its divisors is an integer number (299840904).

Almost surely, 2^23456900160 is an apocalyptic number.

23456900160 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 23456900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41977726560).

23456900160 is an abundant number, since it is smaller than the sum of its proper divisors (60498552960).

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

23456900160 is a wasteful number, since it uses less digits than its factorization.

23456900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5615 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 23456900160 in words is "twenty-three billion, four hundred fifty-six million, nine hundred thousand, one hundred sixty".