104866882560 has 264 divisors, whose sum is σ = 396395752896. Its totient is φ = 25422151680.

The previous prime is 104866882559. The next prime is 104866882577. The reversal of 104866882560 is 65288668401.

104866882560 is a `hidden beast` number, since 1 + 0 + 486 + 6 + 88 + 25 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a junction number, because it is equal to n+sod(n) for n = 104866882497 and 104866882506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403437 + ... + 610323.

It is an arithmetic number, because the mean of its divisors is an integer number (1501499064).

Almost surely, 2^104866882560 is an apocalyptic number.

104866882560 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 104866882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198197876448).

104866882560 is an abundant number, since it is smaller than the sum of its proper divisors (291528870336).

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

104866882560 is a wasteful number, since it uses less digits than its factorization.

104866882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206929 (or 206908 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 104866882560 in words is "one hundred four billion, eight hundred sixty-six million, eight hundred eighty-two thousand, five hundred sixty".