11718861813120 has 256 divisors, whose sum is σ = 46571061818880. Its totient is φ = 2435088138240.

The previous prime is 11718861813089. The next prime is 11718861813133. The reversal of 11718861813120 is 2131816881711.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11718861813120.

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, 39485757 + ... + 39781436.

It is an arithmetic number, because the mean of its divisors is an integer number (181918210230).

Almost surely, 2^{11718861813120} is an apocalyptic number.

11718861813120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11718861813120 is an abundant number, since it is smaller than the sum of its proper divisors (34852200005760).

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

11718861813120 is a wasteful number, since it uses less digits than its factorization.

11718861813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79267233 (or 79267221 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 48.

The spelling of 11718861813120 in words is "eleven trillion, seven hundred eighteen billion, eight hundred sixty-one million, eight hundred thirteen thousand, one hundred twenty".