11879959113120 has 1536 divisors, whose sum is σ = 47819060674560. Its totient is φ = 2419642368000.

The previous prime is 11879959113091. The next prime is 11879959113133. The reversal of 11879959113120 is 2131195997811.

It is a super-2 number, since 2×11879959113120² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7759606755 + ... + 7759608285.

It is an arithmetic number, because the mean of its divisors is an integer number (31132200960).

Almost surely, 2^{11879959113120} is an apocalyptic number.

11879959113120 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 11879959113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23909530337280).

11879959113120 is an abundant number, since it is smaller than the sum of its proper divisors (35939101561440).

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

11879959113120 is a wasteful number, since it uses less digits than its factorization.

11879959113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 57.

The spelling of 11879959113120 in words is "eleven trillion, eight hundred seventy-nine billion, nine hundred fifty-nine million, one hundred thirteen thousand, one hundred twenty".