104807824358400 has 792 divisors, whose sum is σ = 379821103893504. Its totient is φ = 27610494566400.

The previous prime is 104807824358353. The next prime is 104807824358453. The reversal of 104807824358400 is 4853428708401.

104807824358400 is a `hidden beast` number, since 1 + 0 + 4 + 80 + 78 + 2 + 43 + 58 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10228142077 + ... + 10228152323.

Almost surely, 2^{104807824358400} is an apocalyptic number.

104807824358400 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 104807824358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189910551946752).

104807824358400 is an abundant number, since it is smaller than the sum of its proper divisors (275013279535104).

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

104807824358400 is a wasteful number, since it uses less digits than its factorization.

104807824358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10817 (or 10791 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 104807824358400 in words is "one hundred four trillion, eight hundred seven billion, eight hundred twenty-four million, three hundred fifty-eight thousand, four hundred".