11515315552 has 192 divisors, whose sum is σ = 26011238400. Its totient is φ = 4981616640.

The previous prime is 11515315547. The next prime is 11515315561. The reversal of 11515315552 is 25551351511.

11515315552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 90671713 + ... + 90671839.

It is an arithmetic number, because the mean of its divisors is an integer number (135475200).

Almost surely, 2^11515315552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11515315552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13005619200).

11515315552 is an abundant number, since it is smaller than the sum of its proper divisors (14495922848).

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

11515315552 is a wasteful number, since it uses less digits than its factorization.

11515315552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its digits is 18750, while the sum is 34.

The spelling of 11515315552 in words is "eleven billion, five hundred fifteen million, three hundred fifteen thousand, five hundred fifty-two".