11187692880 has 320 divisors, whose sum is σ = 43133572608. Its totient is φ = 2335703040.

The previous prime is 11187692833. The next prime is 11187692899. The reversal of 11187692880 is 8829678111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2115840 + ... + 2121120.

Almost surely, 2^11187692880 is an apocalyptic number.

11187692880 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 11187692880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21566786304).

11187692880 is an abundant number, since it is smaller than the sum of its proper divisors (31945879728).

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

11187692880 is a wasteful number, since it uses less digits than its factorization.

11187692880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5414 (or 5408 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 51.

The spelling of 11187692880 in words is "eleven billion, one hundred eighty-seven million, six hundred ninety-two thousand, eight hundred eighty".