11122577360 has 80 divisors (see below), whose sum is σ = 27016913664. Its totient is φ = 4250459136.

The previous prime is 11122577359. The next prime is 11122577381. The reversal of 11122577360 is 6377522111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 11122577360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1750349 + ... + 1756691.

Almost surely, 2^11122577360 is an apocalyptic number.

11122577360 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 11122577360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13508456832).

11122577360 is an abundant number, since it is smaller than the sum of its proper divisors (15894336304).

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

11122577360 is a wasteful number, since it uses less digits than its factorization.

11122577360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7332 (or 7326 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The spelling of 11122577360 in words is "eleven billion, one hundred twenty-two million, five hundred seventy-seven thousand, three hundred sixty".