104082754978800 has 360 divisors, whose sum is σ = 389529141456000. Its totient is φ = 25584226375680.

The previous prime is 104082754978759. The next prime is 104082754978817. The reversal of 104082754978800 is 8879457280401.

104082754978800 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 8 + 2 + 7 + 549 + 7 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31612801 + ... + 34749599.

Almost surely, 2^{104082754978800} is an apocalyptic number.

104082754978800 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 104082754978800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194764570728000).

104082754978800 is an abundant number, since it is smaller than the sum of its proper divisors (285446386477200).

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

104082754978800 is a wasteful number, since it uses less digits than its factorization.

104082754978800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137545 (or 3137531 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 104082754978800 in words is "one hundred four trillion, eighty-two billion, seven hundred fifty-four million, nine hundred seventy-eight thousand, eight hundred".