11187408960 has 1568 divisors, whose sum is σ = 53729851392. Its totient is φ = 2149908480.

The previous prime is 11187408949. The next prime is 11187408971. The reversal of 11187408960 is 6980478111.

It is a happy number.

11187408960 is a `hidden beast` number, since 1 + 1 + 187 + 408 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (11187408949) and next prime (11187408971).

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 360884145 + ... + 360884175.

Almost surely, 2^11187408960 is an apocalyptic number.

11187408960 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 11187408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26864925696).

11187408960 is an abundant number, since it is smaller than the sum of its proper divisors (42542442432).

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

11187408960 is a wasteful number, since it uses less digits than its factorization.

11187408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11187408960 in words is "eleven billion, one hundred eighty-seven million, four hundred eight thousand, nine hundred sixty".