104756255170560 has 2688 divisors, whose sum is σ = 454849538457600. Its totient is φ = 21762806906880.

The previous prime is 104756255170543. The next prime is 104756255170561. The reversal of 104756255170560 is 65071552657401.

104756255170560 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 5 + 6 + 2 + 5 + 5 + 1 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a junction number, because it is equal to n+sod(n) for n = 104756255170497 and 104756255170506.

It is not an unprimeable number, because it can be changed into a prime (104756255170561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 238624726821 + ... + 238624727259.

Almost surely, 2^{104756255170560} is an apocalyptic number.

104756255170560 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 104756255170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227424769228800).

104756255170560 is an abundant number, since it is smaller than the sum of its proper divisors (350093283287040).

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

104756255170560 is a wasteful number, since it uses less digits than its factorization.

104756255170560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 54.

The spelling of 104756255170560 in words is "one hundred four trillion, seven hundred fifty-six billion, two hundred fifty-five million, one hundred seventy thousand, five hundred sixty".