11514006092160 has 3584 divisors, whose sum is σ = 52862558515200. Its totient is φ = 2354149785600.

The previous prime is 11514006092159. The next prime is 11514006092189. The reversal of 11514006092160 is 6129060041511.

11514006092160 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 40 + 0 + 609 + 2 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 39296948974 + ... + 39296949266.

It is an arithmetic number, because the mean of its divisors is an integer number (14749597800).

Almost surely, 2^{11514006092160} is an apocalyptic number.

11514006092160 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 11514006092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26431279257600).

11514006092160 is an abundant number, since it is smaller than the sum of its proper divisors (41348552423040).

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

11514006092160 is a wasteful number, since it uses less digits than its factorization.

11514006092160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11514006092160 in words is "eleven trillion, five hundred fourteen billion, six million, ninety-two thousand, one hundred sixty".