11184140160 has 384 divisors, whose sum is σ = 39708396000. Its totient is φ = 2899722240.

The previous prime is 11184140153. The next prime is 11184140179. The reversal of 11184140160 is 6104148111.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11184140160² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48838926 + ... + 48839154.

Almost surely, 2^11184140160 is an apocalyptic number.

11184140160 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 11184140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19854198000).

11184140160 is an abundant number, since it is smaller than the sum of its proper divisors (28524255840).

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

11184140160 is a wasteful number, since it uses less digits than its factorization.

11184140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 11184140160 its reverse (6104148111), we get a palindrome (17288288271).

The spelling of 11184140160 in words is "eleven billion, one hundred eighty-four million, one hundred forty thousand, one hundred sixty".