23568460800 has 264 divisors, whose sum is σ = 78192223056. Its totient is φ = 6260981760.

The previous prime is 23568460759. The next prime is 23568460807. The reversal of 23568460800 is 806486532.

It is a super-2 number, since 2×23568460800² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23568460807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30489214 + ... + 30489986.

Almost surely, 2^23568460800 is an apocalyptic number.

23568460800 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 23568460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39096111528).

23568460800 is an abundant number, since it is smaller than the sum of its proper divisors (54623762256).

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

23568460800 is a wasteful number, since it uses less digits than its factorization.

23568460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 23568460800 in words is "twenty-three billion, five hundred sixty-eight million, four hundred sixty thousand, eight hundred".