11514480120 has 768 divisors, whose sum is σ = 47551795200. Its totient is φ = 2373304320.

The previous prime is 11514480113. The next prime is 11514480233. The reversal of 11514480120 is 2108441511.

It is a happy number.

11514480120 is a `hidden beast` number, since 11 + 51 + 4 + 480 + 120 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51634329 + ... + 51634551.

It is an arithmetic number, because the mean of its divisors is an integer number (61916400).

Almost surely, 2^11514480120 is an apocalyptic number.

11514480120 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 11514480120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23775897600).

11514480120 is an abundant number, since it is smaller than the sum of its proper divisors (36037315080).

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

11514480120 is a wasteful number, since it uses less digits than its factorization.

11514480120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 11514480120 in words is "eleven billion, five hundred fourteen million, four hundred eighty thousand, one hundred twenty".