104680025856 has 864 divisors, whose sum is σ = 383861237760. Its totient is φ = 26772996096.

The previous prime is 104680025851. The next prime is 104680025867. The reversal of 104680025856 is 658520086401.

104680025856 is a `hidden beast` number, since 1 + 0 + 4 + 68 + 0 + 0 + 2 + 585 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104680025851) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 398022781 + ... + 398023043.

It is an arithmetic number, because the mean of its divisors is an integer number (444283840).

Almost surely, 2^104680025856 is an apocalyptic number.

104680025856 is a gapful number since it is divisible by the number (16) 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 104680025856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191930618880).

104680025856 is an abundant number, since it is smaller than the sum of its proper divisors (279181211904).

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

104680025856 is a wasteful number, since it uses less digits than its factorization.

104680025856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 104680025856 in words is "one hundred four billion, six hundred eighty million, twenty-five thousand, eight hundred fifty-six".