11550897120 has 192 divisors, whose sum is σ = 41629593600. Its totient is φ = 2637262848.

The previous prime is 11550897119. The next prime is 11550897121. The reversal of 11550897120 is 2179805511.

11550897120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11550897119) and next prime (11550897121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11550897121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4813681 + ... + 4816079.

It is an arithmetic number, because the mean of its divisors is an integer number (216820800).

Almost surely, 2^11550897120 is an apocalyptic number.

11550897120 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 11550897120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20814796800).

11550897120 is an abundant number, since it is smaller than the sum of its proper divisors (30078696480).

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

11550897120 is a wasteful number, since it uses less digits than its factorization.

11550897120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 39.

The spelling of 11550897120 in words is "eleven billion, five hundred fifty million, eight hundred ninety-seven thousand, one hundred twenty".