104520112624800 has 1440 divisors, whose sum is σ = 411564611304000. Its totient is φ = 25727715901440.

The previous prime is 104520112624783. The next prime is 104520112624867. The reversal of 104520112624800 is 8426211025401.

104520112624800 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 2 + 0 + 112 + 62 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 23770776202 + ... + 23770780598.

It is an arithmetic number, because the mean of its divisors is an integer number (285808757850).

Almost surely, 2^{104520112624800} is an apocalyptic number.

104520112624800 is a gapful number since it is divisible by the number (10) 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 104520112624800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205782305652000).

104520112624800 is an abundant number, since it is smaller than the sum of its proper divisors (307044498679200).

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

104520112624800 is a wasteful number, since it uses less digits than its factorization.

104520112624800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 104520112624800 in words is "one hundred four trillion, five hundred twenty billion, one hundred twelve million, six hundred twenty-four thousand, eight hundred".