11171686680000 has 3360 divisors, whose sum is σ = 53510932620288. Its totient is φ = 2156544000000.

The previous prime is 11171686679981. The next prime is 11171686680023. The reversal of 11171686680000 is 8668617111.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 479 ways as a sum of consecutive naturals, for example, 71157239922 + ... + 71157240078.

Almost surely, 2^{11171686680000} is an apocalyptic number.

11171686680000 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 11171686680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26755466310144).

11171686680000 is an abundant number, since it is smaller than the sum of its proper divisors (42339245940288).

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

11171686680000 is a wasteful number, since it uses less digits than its factorization.

11171686680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11171686680000 in words is "eleven trillion, one hundred seventy-one billion, six hundred eighty-six million, six hundred eighty thousand".