104202352800 has 1440 divisors, whose sum is σ = 480218264064. Its totient is φ = 21399552000.

The previous prime is 104202352769. The next prime is 104202352811. The reversal of 104202352800 is 8253202401.

104202352800 is a `hidden beast` number, since 1 + 0 + 420 + 235 + 2 + 8 + 0 + 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 (27).

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, 241768585 + ... + 241769015.

Almost surely, 2^104202352800 is an apocalyptic number.

104202352800 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 104202352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240109132032).

104202352800 is an abundant number, since it is smaller than the sum of its proper divisors (376015911264).

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

104202352800 is a wasteful number, since it uses less digits than its factorization.

104202352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 104202352800 in words is "one hundred four billion, two hundred two million, three hundred fifty-two thousand, eight hundred".