11876130708960 has 384 divisors, whose sum is σ = 43649990221824. Its totient is φ = 2658059919360.

The previous prime is 11876130708919. The next prime is 11876130708971. The reversal of 11876130708960 is 6980703167811.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11876130708960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45576162 + ... + 45835998.

It is an arithmetic number, because the mean of its divisors is an integer number (113671849536).

Almost surely, 2^{11876130708960} is an apocalyptic number.

11876130708960 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 11876130708960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21824995110912).

11876130708960 is an abundant number, since it is smaller than the sum of its proper divisors (31773859512864).

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

11876130708960 is a wasteful number, since it uses less digits than its factorization.

11876130708960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260146 (or 260138 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 57.

The spelling of 11876130708960 in words is "eleven trillion, eight hundred seventy-six billion, one hundred thirty million, seven hundred eight thousand, nine hundred sixty".