104668572960 has 576 divisors, whose sum is σ = 451028777472. Its totient is φ = 21537128448.

The previous prime is 104668572889. The next prime is 104668572971. The reversal of 104668572960 is 69275866401.

104668572960 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 6 + 8 + 572 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104668572897 and 104668572906.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3928002 + ... + 3954558.

It is an arithmetic number, because the mean of its divisors is an integer number (783036072).

Almost surely, 2^104668572960 is an apocalyptic number.

104668572960 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 104668572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225514388736).

104668572960 is an abundant number, since it is smaller than the sum of its proper divisors (346360204512).

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

104668572960 is a wasteful number, since it uses less digits than its factorization.

104668572960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26625 (or 26614 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 104668572960 in words is "one hundred four billion, six hundred sixty-eight million, five hundred seventy-two thousand, nine hundred sixty".