11221460160 has 224 divisors, whose sum is σ = 36785214720. Its totient is φ = 2896785408.

The previous prime is 11221460149. The next prime is 11221460161. The reversal of 11221460160 is 6106412211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11221460160.

It is not an unprimeable number, because it can be changed into a prime (11221460161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3793402 + ... + 3796358.

Almost surely, 2^11221460160 is an apocalyptic number.

11221460160 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 11221460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18392607360).

11221460160 is an abundant number, since it is smaller than the sum of its proper divisors (25563754560).

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

11221460160 is a wasteful number, since it uses less digits than its factorization.

11221460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11221460160 its reverse (6106412211), we get a palindrome (17327872371).

The spelling of 11221460160 in words is "eleven billion, two hundred twenty-one million, four hundred sixty thousand, one hundred sixty".