11087583128160 has 384 divisors, whose sum is σ = 43562581622784. Its totient is φ = 2302928271360.

The previous prime is 11087583128081. The next prime is 11087583128173. The reversal of 11087583128160 is 6182138578011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88012737 + ... + 88138623.

It is an arithmetic number, because the mean of its divisors is an integer number (113444222976).

Almost surely, 2^{11087583128160} is an apocalyptic number.

11087583128160 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 11087583128160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21781290811392).

11087583128160 is an abundant number, since it is smaller than the sum of its proper divisors (32474998494624).

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

11087583128160 is a wasteful number, since it uses less digits than its factorization.

11087583128160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128306 (or 128298 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 51.

The spelling of 11087583128160 in words is "eleven trillion, eighty-seven billion, five hundred eighty-three million, one hundred twenty-eight thousand, one hundred sixty".