11089527120 has 180 divisors, whose sum is σ = 43322846580. Its totient is φ = 2534740992.

The previous prime is 11089527109. The next prime is 11089527131. The reversal of 11089527120 is 2172598011.

It is a happy number.

11089527120 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 9 + 527 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (11089527109) and next prime (11089527131).

It can be written as a sum of positive squares in 2 ways, for example, as 8429443344 + 2660083776 = 91812^2 + 51576^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×11089527120² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121885 + ... + 192444.

It is an arithmetic number, because the mean of its divisors is an integer number (240682481).

Almost surely, 2^11089527120 is an apocalyptic number.

11089527120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11089527120 is an abundant number, since it is smaller than the sum of its proper divisors (32233319460).

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

11089527120 is a wasteful number, since it uses less digits than its factorization.

11089527120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314362 (or 314346 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 11089527120 in words is "eleven billion, eighty-nine million, five hundred twenty-seven thousand, one hundred twenty".