11502741120 has 256 divisors, whose sum is σ = 39900833280. Its totient is φ = 2801664000.

The previous prime is 11502741091. The next prime is 11502741137. The reversal of 11502741120 is 2114720511.

11502741120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2418745 + ... + 2423495.

It is an arithmetic number, because the mean of its divisors is an integer number (155862630).

Almost surely, 2^11502741120 is an apocalyptic number.

11502741120 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 11502741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19950416640).

11502741120 is an abundant number, since it is smaller than the sum of its proper divisors (28398092160).

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

11502741120 is a wasteful number, since it uses less digits than its factorization.

11502741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4883 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The spelling of 11502741120 in words is "eleven billion, five hundred two million, seven hundred forty-one thousand, one hundred twenty".