11634005120 has 32 divisors (see below), whose sum is σ = 27812545020. Its totient is φ = 4653601792.

The previous prime is 11634005113. The next prime is 11634005161. The reversal of 11634005120 is 2150043611.

It can be written as a sum of positive squares in 2 ways, for example, as 11579481664 + 54523456 = 107608^2 + 7384^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9088427 + ... + 9089706.

Almost surely, 2^11634005120 is an apocalyptic number.

11634005120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11634005120 is an abundant number, since it is smaller than the sum of its proper divisors (16178539900).

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

11634005120 is an equidigital number, since it uses as much as digits as its factorization.

11634005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18178152 (or 18178140 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 11634005120 its reverse (2150043611), we get a palindrome (13784048731).

The spelling of 11634005120 in words is "eleven billion, six hundred thirty-four million, five thousand, one hundred twenty".