11711717712000 has 192 divisors, whose sum is σ = 42059706750360. Its totient is φ = 3123124684800.

The previous prime is 11711717711971. The next prime is 11711717712001. The reversal of 11711717712000 is 21771711711.

It can be written as a sum of positive squares in 4 ways, for example, as 6660982868544 + 5050734843456 = 2580888^2 + 2247384^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11711717712001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40521687 + ... + 40809686.

Almost surely, 2^{11711717712000} is an apocalyptic number.

11711717712000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11711717712000 is an abundant number, since it is smaller than the sum of its proper divisors (30347989038360).

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

11711717712000 is an equidigital number, since it uses as much as digits as its factorization.

11711717712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81331408 (or 81331383 counting only the distinct ones).

The product of its (nonzero) digits is 4802, while the sum is 36.

The spelling of 11711717712000 in words is "eleven trillion, seven hundred eleven billion, seven hundred seventeen million, seven hundred twelve thousand".