11680968931632 has 480 divisors, whose sum is σ = 43931819183616. Its totient is φ = 2798099251200.

The previous prime is 11680968931609. The next prime is 11680968931649. The reversal of 11680968931632 is 23613986908611.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 11680968931632.

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, 161837632 + ... + 161909792.

Almost surely, 2^{11680968931632} is an apocalyptic number.

11680968931632 is a gapful number since it is divisible by the number (12) 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 11680968931632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21965909591808).

11680968931632 is an abundant number, since it is smaller than the sum of its proper divisors (32250850251984).

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

11680968931632 is a wasteful number, since it uses less digits than its factorization.

11680968931632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73329 (or 73320 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 11680968931632 in words is "eleven trillion, six hundred eighty billion, nine hundred sixty-eight million, nine hundred thirty-one thousand, six hundred thirty-two".