11955591121320 has 4096 divisors, whose sum is σ = 57096791654400. Its totient is φ = 2149908480000.

The previous prime is 11955591121273. The next prime is 11955591121451. The reversal of 11955591121320 is 2312119555911.

11955591121320 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 5 + 591 + 1 + 21 + 32 + 0 = 666.

It is a super-2 number, since 2×11955591121320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 118372189270 + ... + 118372189370.

It is an arithmetic number, because the mean of its divisors is an integer number (13939646400).

Almost surely, 2^{11955591121320} is an apocalyptic number.

11955591121320 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 11955591121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28548395827200).

11955591121320 is an abundant number, since it is smaller than the sum of its proper divisors (45141200533080).

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

11955591121320 is a wasteful number, since it uses less digits than its factorization.

11955591121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 45.

The spelling of 11955591121320 in words is "eleven trillion, nine hundred fifty-five billion, five hundred ninety-one million, one hundred twenty-one thousand, three hundred twenty".