11713574882880 has 672 divisors, whose sum is σ = 45976235655168. Its totient is φ = 2711671603200.

The previous prime is 11713574882869. The next prime is 11713574882909. The reversal of 11713574882880 is 8828847531711.

11713574882880 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 3 + 57 + 488 + 28 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 936255825 + ... + 936268335.

It is an arithmetic number, because the mean of its divisors is an integer number (68417017344).

Almost surely, 2^{11713574882880} is an apocalyptic number.

11713574882880 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 11713574882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22988117827584).

11713574882880 is an abundant number, since it is smaller than the sum of its proper divisors (34262660772288).

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

11713574882880 is a wasteful number, since it uses less digits than its factorization.

11713574882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14035 (or 14022 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 63.

The spelling of 11713574882880 in words is "eleven trillion, seven hundred thirteen billion, five hundred seventy-four million, eight hundred eighty-two thousand, eight hundred eighty".