104652424800 has 432 divisors, whose sum is σ = 460092552192. Its totient is φ = 21745843200.

The previous prime is 104652424759. The next prime is 104652424819. The reversal of 104652424800 is 8424256401.

104652424800 is a `hidden beast` number, since 10 + 46 + 524 + 2 + 4 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 460017 + ... + 648783.

It is an arithmetic number, because the mean of its divisors is an integer number (1065029056).

Almost surely, 2^104652424800 is an apocalyptic number.

104652424800 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 104652424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230046276096).

104652424800 is an abundant number, since it is smaller than the sum of its proper divisors (355440127392).

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

104652424800 is a wasteful number, since it uses less digits than its factorization.

104652424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188811 (or 188795 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 104652424800 in words is "one hundred four billion, six hundred fifty-two million, four hundred twenty-four thousand, eight hundred".