104795946823680 has 2600 divisors, whose sum is σ = 444931405479792. Its totient is φ = 23590112329728.

The previous prime is 104795946823669. The next prime is 104795946823747. The reversal of 104795946823680 is 86328649597401.

104795946823680 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 9 + 59 + 468 + 2 + 36 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 104795946823599 and 104795946823608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 330586582882 + ... + 330586583198.

It is a 2-persistent number, because it is pandigital, and so is 2⋅104795946823680 = 209591893647360, but 3⋅104795946823680 = 314387840471040 is not.

Almost surely, 2^{104795946823680} is an apocalyptic number.

104795946823680 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 104795946823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222465702739896).

104795946823680 is an abundant number, since it is smaller than the sum of its proper divisors (340135458656112).

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

104795946823680 is an frugal number, since it uses more digits than its factorization.

104795946823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 104795946823680 in words is "one hundred four trillion, seven hundred ninety-five billion, nine hundred forty-six million, eight hundred twenty-three thousand, six hundred eighty".