23104482508800 has 6120 divisors, whose sum is σ = 121063236323040. Its totient is φ = 4280706662400.

The previous prime is 23104482508799. The next prime is 23104482508823. The reversal of 23104482508800 is 880528440132.

23104482508800 is a `hidden beast` number, since 2 + 310 + 4 + 4 + 8 + 250 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6120).

It is a super-2 number, since 2×23104482508800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1216025395191 + ... + 1216025395209.

Almost surely, 2^{23104482508800} is an apocalyptic number.

23104482508800 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 23104482508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60531618161520).

23104482508800 is an abundant number, since it is smaller than the sum of its proper divisors (97958753814240).

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

23104482508800 is a wasteful number, since it uses less digits than its factorization.

23104482508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 23104482508800 in words is "twenty-three trillion, one hundred four billion, four hundred eighty-two million, five hundred eight thousand, eight hundred".