11680415717880 has 128 divisors (see below), whose sum is σ = 43127688844800. Its totient is φ = 2464439357952.

The previous prime is 11680415717879. The next prime is 11680415717911. The reversal of 11680415717880 is 8871751408611.

It is a super-3 number, since 3×11680415717880³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 11680415717880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534806650 + ... + 534828489.

It is an arithmetic number, because the mean of its divisors is an integer number (336935069100).

Almost surely, 2^{11680415717880} is an apocalyptic number.

11680415717880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11680415717880 is an abundant number, since it is smaller than the sum of its proper divisors (31447273126920).

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

11680415717880 is a wasteful number, since it uses less digits than its factorization.

11680415717880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069635173 (or 1069635169 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 57.

The spelling of 11680415717880 in words is "eleven trillion, six hundred eighty billion, four hundred fifteen million, seven hundred seventeen thousand, eight hundred eighty".