11512257760 has 24 divisors (see below), whose sum is σ = 27197709336. Its totient is φ = 4604903040.

The previous prime is 11512257751. The next prime is 11512257763. The reversal of 11512257760 is 6775221511.

11512257760 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 not an unprimeable number, because it can be changed into a prime (11512257763) 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 3 ways as a sum of consecutive naturals, for example, 35975646 + ... + 35975965.

It is an arithmetic number, because the mean of its divisors is an integer number (1133237889).

Almost surely, 2^11512257760 is an apocalyptic number.

11512257760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11512257760 is an abundant number, since it is smaller than the sum of its proper divisors (15685451576).

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

11512257760 is an equidigital number, since it uses as much as digits as its factorization.

11512257760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71951626 (or 71951618 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 37.

The spelling of 11512257760 in words is "eleven billion, five hundred twelve million, two hundred fifty-seven thousand, seven hundred sixty".