104552876113920 has 2304 divisors, whose sum is σ = 418032372139200. Its totient is φ = 25042133975040.

The previous prime is 104552876113841. The next prime is 104552876113943. The reversal of 104552876113920 is 29311678255401.

104552876113920 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 528 + 7 + 61 + 1 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 275865108291 + ... + 275865108669.

It is a 1-persistent number, because it is pandigital, but 2⋅104552876113920 = 209105752227840 is not.

Almost surely, 2^{104552876113920} is an apocalyptic number.

104552876113920 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 104552876113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209016186069600).

104552876113920 is an abundant number, since it is smaller than the sum of its proper divisors (313479496025280).

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

104552876113920 is an frugal number, since it uses more digits than its factorization.

104552876113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 104552876113920 in words is "one hundred four trillion, five hundred fifty-two billion, eight hundred seventy-six million, one hundred thirteen thousand, nine hundred twenty".