11202140160 has 384 divisors, whose sum is σ = 41136076800. Its totient is φ = 2888663040.

The previous prime is 11202140149. The next prime is 11202140237. The reversal of 11202140160 is 6104120211.

11202140160 is a `hidden beast` number, since 1 + 1 + 202 + 1 + 401 + 60 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8570227 + ... + 8571533.

It is an arithmetic number, because the mean of its divisors is an integer number (107125200).

Almost surely, 2^11202140160 is an apocalyptic number.

11202140160 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 11202140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20568038400).

11202140160 is an abundant number, since it is smaller than the sum of its proper divisors (29933936640).

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

11202140160 is a wasteful number, since it uses less digits than its factorization.

11202140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11202140160 its reverse (6104120211), we get a palindrome (17306260371).

The spelling of 11202140160 in words is "eleven billion, two hundred two million, one hundred forty thousand, one hundred sixty".