11185455960 has 384 divisors, whose sum is σ = 43253084160. Its totient is φ = 2453068800.

The previous prime is 11185455947. The next prime is 11185456019. The reversal of 11185455960 is 6955458111.

11185455960 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 54 + 5 + 596 + 0 = 666.

It is a super-2 number, since 2×11185455960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10233174 + ... + 10234266.

It is an arithmetic number, because the mean of its divisors is an integer number (112638240).

Almost surely, 2^11185455960 is an apocalyptic number.

11185455960 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 11185455960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21626542080).

11185455960 is an abundant number, since it is smaller than the sum of its proper divisors (32067628200).

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

11185455960 is a wasteful number, since it uses less digits than its factorization.

11185455960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 11185455960 in words is "eleven billion, one hundred eighty-five million, four hundred fifty-five thousand, nine hundred sixty".