104604680880 has 1280 divisors, whose sum is σ = 453570969600. Its totient is φ = 21628477440.

The previous prime is 104604680867. The next prime is 104604680893. The reversal of 104604680880 is 88086406401.

104604680880 is a `hidden beast` number, since 104 + 6 + 0 + 468 + 0 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (104604680867) and next prime (104604680893).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 977613787 + ... + 977613893.

It is an arithmetic number, because the mean of its divisors is an integer number (354352320).

Almost surely, 2^104604680880 is an apocalyptic number.

104604680880 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 104604680880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226785484800).

104604680880 is an abundant number, since it is smaller than the sum of its proper divisors (348966288720).

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

104604680880 is a wasteful number, since it uses less digits than its factorization.

104604680880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 104604680880 in words is "one hundred four billion, six hundred four million, six hundred eighty thousand, eight hundred eighty".