23568116400 has 300 divisors, whose sum is σ = 86024683800. Its totient is φ = 6177807360.

The previous prime is 23568116333. The next prime is 23568116417. The reversal of 23568116400 is 461186532.

It is a happy number.

23568116400 is a `hidden beast` number, since 2 + 3 + 5 + 6 + 8 + 1 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×23568116400² (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 59 ways as a sum of consecutive naturals, for example, 1905436 + ... + 1917764.

It is an arithmetic number, because the mean of its divisors is an integer number (286748946).

Almost surely, 2^23568116400 is an apocalyptic number.

23568116400 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 23568116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43012341900).

23568116400 is an abundant number, since it is smaller than the sum of its proper divisors (62456567400).

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

23568116400 is a wasteful number, since it uses less digits than its factorization.

23568116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12418 (or 12398 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 23568116400 in words is "twenty-three billion, five hundred sixty-eight million, one hundred sixteen thousand, four hundred".