104155474372560 has 960 divisors, whose sum is σ = 408061107417600. Its totient is φ = 23584699072512.

The previous prime is 104155474372489. The next prime is 104155474372627. The reversal of 104155474372560 is 65273474551401.

104155474372560 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 5 + 5 + 4 + 7 + 4 + 3 + 72 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104155474372497 and 104155474372506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3309764506 + ... + 3309795974.

It is an arithmetic number, because the mean of its divisors is an integer number (425063653560).

Almost surely, 2^{104155474372560} is an apocalyptic number.

104155474372560 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 104155474372560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204030553708800).

104155474372560 is an abundant number, since it is smaller than the sum of its proper divisors (303905633045040).

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

104155474372560 is a wasteful number, since it uses less digits than its factorization.

104155474372560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32060 (or 32051 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 104155474372560 in words is "one hundred four trillion, one hundred fifty-five billion, four hundred seventy-four million, three hundred seventy-two thousand, five hundred sixty".