104472085800960 has 576 divisors, whose sum is σ = 370866102647040. Its totient is φ = 27184592977920.

The previous prime is 104472085800911. The next prime is 104472085800961. The reversal of 104472085800960 is 69008580274401.

It is a happy number.

104472085800960 is a `hidden beast` number, since 1 + 0 + 4 + 472 + 0 + 8 + 5 + 80 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 104472085800897 and 104472085800906.

It is not an unprimeable number, because it can be changed into a prime (104472085800961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4204603257 + ... + 4204628103.

It is an arithmetic number, because the mean of its divisors is an integer number (643864761540).

Almost surely, 2^{104472085800960} is an apocalyptic number.

104472085800960 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 104472085800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185433051323520).

104472085800960 is an abundant number, since it is smaller than the sum of its proper divisors (266394016846080).

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

104472085800960 is a wasteful number, since it uses less digits than its factorization.

104472085800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25984 (or 25961 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 104472085800960 in words is "one hundred four trillion, four hundred seventy-two billion, eighty-five million, eight hundred thousand, nine hundred sixty".