11311199053128 has 384 divisors, whose sum is σ = 36158633280000. Its totient is φ = 3263416086528.

The previous prime is 11311199053123. The next prime is 11311199053171. The reversal of 11311199053128 is 82135099111311.

11311199053128 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 1 + 1 + 9 + 90 + 531 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (11311199053123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166898913 + ... + 166966671.

It is an arithmetic number, because the mean of its divisors is an integer number (94163107500).

Almost surely, 2^{11311199053128} is an apocalyptic number.

11311199053128 is a gapful number since it is divisible by the number (18) 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 11311199053128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079316640000).

11311199053128 is an abundant number, since it is smaller than the sum of its proper divisors (24847434226872).

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

11311199053128 is a wasteful number, since it uses less digits than its factorization.

11311199053128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68086 (or 68063 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 45.

The spelling of 11311199053128 in words is "eleven trillion, three hundred eleven billion, one hundred ninety-nine million, fifty-three thousand, one hundred twenty-eight".