11855109120 has 352 divisors, whose sum is σ = 40706281728. Its totient is φ = 2934177792.

The previous prime is 11855109107. The next prime is 11855109157. The reversal of 11855109120 is 2190155811.

It is a happy number.

It is a super-2 number, since 2×11855109120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21672687 + ... + 21673233.

Almost surely, 2^11855109120 is an apocalyptic number.

11855109120 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 11855109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20353140864).

11855109120 is an abundant number, since it is smaller than the sum of its proper divisors (28851172608).

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

11855109120 is a wasteful number, since it uses less digits than its factorization.

11855109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 33.

The spelling of 11855109120 in words is "eleven billion, eight hundred fifty-five million, one hundred nine thousand, one hundred twenty".