104879808000 has 480 divisors, whose sum is σ = 412123881312. Its totient is φ = 25423872000.

The previous prime is 104879807933. The next prime is 104879808037. The reversal of 104879808000 is 808978401.

104879808000 is a `hidden beast` number, since 1 + 0 + 487 + 98 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×104879808000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6327724 + ... + 6344276.

Almost surely, 2^104879808000 is an apocalyptic number.

104879808000 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 104879808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206061940656).

104879808000 is an abundant number, since it is smaller than the sum of its proper divisors (307244073312).

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

104879808000 is a wasteful number, since it uses less digits than its factorization.

104879808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16603 (or 16574 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 104879808000 in words is "one hundred four billion, eight hundred seventy-nine million, eight hundred eight thousand".