11959199160480 has 2688 divisors, whose sum is σ = 52107379107840. Its totient is φ = 2553016320000.

The previous prime is 11959199160479. The next prime is 11959199160533. The reversal of 11959199160480 is 8406199195911.

It is a happy number.

11959199160480 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 9 + 1 + 9 + 91 + 60 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 52223577006 + ... + 52223577234.

It is an arithmetic number, because the mean of its divisors is an integer number (19385185680).

Almost surely, 2^{11959199160480} is an apocalyptic number.

11959199160480 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 11959199160480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26053689553920).

11959199160480 is an abundant number, since it is smaller than the sum of its proper divisors (40148179947360).

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

11959199160480 is a wasteful number, since it uses less digits than its factorization.

11959199160480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 63.

The spelling of 11959199160480 in words is "eleven trillion, nine hundred fifty-nine billion, one hundred ninety-nine million, one hundred sixty thousand, four hundred eighty".