23064580800 has 378 divisors, whose sum is σ = 84320288052. Its totient is φ = 5976391680.

The previous prime is 23064580771. The next prime is 23064580811. The reversal of 23064580800 is 808546032.

23064580800 is a `hidden beast` number, since 2 + 3 + 0 + 645 + 8 + 0 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×23064580800³ (a number of 32 digits) contains 333 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 53 ways as a sum of consecutive naturals, for example, 119505504 + ... + 119505696.

Almost surely, 2^23064580800 is an apocalyptic number.

23064580800 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 23064580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42160144026).

23064580800 is an abundant number, since it is smaller than the sum of its proper divisors (61255707252).

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

23064580800 is a wasteful number, since it uses less digits than its factorization.

23064580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 23064580800 in words is "twenty-three billion, sixty-four million, five hundred eighty thousand, eight hundred".