104869255582080 has 3072 divisors, whose sum is σ = 441331922304000. Its totient is φ = 23528598405120.

The previous prime is 104869255582019. The next prime is 104869255582087. The reversal of 104869255582080 is 80285552968401.

It is a happy number.

104869255582080 is a `hidden beast` number, since 1 + 0 + 48 + 6 + 9 + 2 + 5 + 5 + 582 + 0 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104869255581999 and 104869255582017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104869255582087) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 457944347406 + ... + 457944347634.

It is an arithmetic number, because the mean of its divisors is an integer number (143662735125).

Almost surely, 2^{104869255582080} is an apocalyptic number.

104869255582080 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 104869255582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220665961152000).

104869255582080 is an abundant number, since it is smaller than the sum of its proper divisors (336462666721920).

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

104869255582080 is a wasteful number, since it uses less digits than its factorization.

104869255582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 63.

The spelling of 104869255582080 in words is "one hundred four trillion, eight hundred sixty-nine billion, two hundred fifty-five million, five hundred eighty-two thousand, eighty".