11536892160 has 144 divisors (see below), whose sum is σ = 36914640000. Its totient is φ = 3070771200.

The previous prime is 11536892137. The next prime is 11536892197. The reversal of 11536892160 is 6129863511.

It is a super-2 number, since 2×11536892160² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2305341 + ... + 2310339.

Almost surely, 2^11536892160 is an apocalyptic number.

11536892160 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 11536892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18457320000).

11536892160 is an abundant number, since it is smaller than the sum of its proper divisors (25377747840).

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

11536892160 is an equidigital number, since it uses as much as digits as its factorization.

11536892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624 (or 5610 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 11536892160 in words is "eleven billion, five hundred thirty-six million, eight hundred ninety-two thousand, one hundred sixty".