11516591232 has 128 divisors (see below), whose sum is σ = 34713619200. Its totient is φ = 3757132800.

The previous prime is 11516591183. The next prime is 11516591263. The reversal of 11516591232 is 23219561511.

It is a happy number.

11516591232 is a `hidden beast` number, since 11 + 51 + 6 + 591 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126982 + ... + 197882.

It is an arithmetic number, because the mean of its divisors is an integer number (271200150).

Almost surely, 2^11516591232 is an apocalyptic number.

11516591232 is a gapful number since it is divisible by the number (12) 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 11516591232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17356809600).

11516591232 is an abundant number, since it is smaller than the sum of its proper divisors (23197027968).

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

11516591232 is an equidigital number, since it uses as much as digits as its factorization.

11516591232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70971 (or 70953 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The spelling of 11516591232 in words is "eleven billion, five hundred sixteen million, five hundred ninety-one thousand, two hundred thirty-two".