11185507080 has 320 divisors, whose sum is σ = 41195563200. Its totient is φ = 2699619840.

The previous prime is 11185507057. The next prime is 11185507087. The reversal of 11185507080 is 8070558111.

It is a happy number.

11185507080 is a `hidden beast` number, since 11 + 18 + 550 + 7 + 0 + 80 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11185507087) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10085566 + ... + 10086674.

It is an arithmetic number, because the mean of its divisors is an integer number (128736135).

Almost surely, 2^11185507080 is an apocalyptic number.

11185507080 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 11185507080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20597781600).

11185507080 is an abundant number, since it is smaller than the sum of its proper divisors (30010056120).

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

11185507080 is a wasteful number, since it uses less digits than its factorization.

11185507080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 36.

The spelling of 11185507080 in words is "eleven billion, one hundred eighty-five million, five hundred seven thousand, eighty".