104479687676160 has 360 divisors, whose sum is σ = 373887132779160. Its totient is φ = 27858291130368.

The previous prime is 104479687676159. The next prime is 104479687676179. The reversal of 104479687676160 is 61676786974401.

104479687676160 is a `hidden beast` number, since 1 + 0 + 4 + 479 + 6 + 8 + 76 + 76 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1264491254016 + 103215196422144 = 1124496^2 + 10159488^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1081645146 + ... + 1081741734.

It is an arithmetic number, because the mean of its divisors is an integer number (1038575368831).

Almost surely, 2^{104479687676160} is an apocalyptic number.

104479687676160 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 104479687676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186943566389580).

104479687676160 is an abundant number, since it is smaller than the sum of its proper divisors (269407445103000).

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

104479687676160 is an equidigital number, since it uses as much as digits as its factorization.

104479687676160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107055 (or 107032 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 104479687676160 in words is "one hundred four trillion, four hundred seventy-nine billion, six hundred eighty-seven million, six hundred seventy-six thousand, one hundred sixty".