10908759794688 has 1980 divisors, whose sum is σ = 41448763508880. Its totient is φ = 2857497108480.

The previous prime is 10908759794677. The next prime is 10908759794717. The reversal of 10908759794688 is 88649795780901.

10908759794688 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 87 + 5 + 9 + 79 + 468 + 8 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 179 ways as a sum of consecutive naturals, for example, 351895477233 + ... + 351895477263.

Almost surely, 2^{10908759794688} is an apocalyptic number.

10908759794688 is a gapful number since it is divisible by the number (18) 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 10908759794688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20724381754440).

10908759794688 is an abundant number, since it is smaller than the sum of its proper divisors (30540003714192).

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

10908759794688 is an frugal number, since it uses more digits than its factorization.

10908759794688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 81.

The spelling of 10908759794688 in words is "ten trillion, nine hundred eight billion, seven hundred fifty-nine million, seven hundred ninety-four thousand, six hundred eighty-eight".