104059607374800 has 1200 divisors, whose sum is σ = 467206847597952. Its totient is φ = 21548826316800.

The previous prime is 104059607374787. The next prime is 104059607374837. The reversal of 104059607374800 is 8473706950401.

104059607374800 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 5 + 96 + 0 + 73 + 7 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 730905222 + ... + 731047578.

Almost surely, 2^{104059607374800} is an apocalyptic number.

104059607374800 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 104059607374800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233603423798976).

104059607374800 is an abundant number, since it is smaller than the sum of its proper divisors (363147240223152).

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

104059607374800 is a wasteful number, since it uses less digits than its factorization.

104059607374800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142698 (or 142678 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 104059607374800 in words is "one hundred four trillion, fifty-nine billion, six hundred seven million, three hundred seventy-four thousand, eight hundred".