104075384716800 has 4800 divisors, whose sum is σ = 481593110592000. Its totient is φ = 22122558259200.

The previous prime is 104075384716769. The next prime is 104075384716889. The reversal of 104075384716800 is 8617483570401.

104075384716800 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 7 + 538 + 47 + 1 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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 479 ways as a sum of consecutive naturals, for example, 493248268695 + ... + 493248268905.

It is an arithmetic number, because the mean of its divisors is an integer number (100331898040).

Almost surely, 2^{104075384716800} is an apocalyptic number.

104075384716800 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 104075384716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240796555296000).

104075384716800 is an abundant number, since it is smaller than the sum of its proper divisors (377517725875200).

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

104075384716800 is an equidigital number, since it uses as much as digits as its factorization.

104075384716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 104075384716800 in words is "one hundred four trillion, seventy-five billion, three hundred eighty-four million, seven hundred sixteen thousand, eight hundred".