11275988724 has 384 divisors, whose sum is σ = 40326451200. Its totient is φ = 2629532160.

The previous prime is 11275988621. The next prime is 11275988741. The reversal of 11275988724 is 42788957211.

11275988724 is a `hidden beast` number, since 1 + 1 + 27 + 598 + 8 + 7 + 24 = 666.

11275988724 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 (54).

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 127 ways as a sum of consecutive naturals, for example, 3998587 + ... + 4001405.

It is an arithmetic number, because the mean of its divisors is an integer number (105016800).

Almost surely, 2^11275988724 is an apocalyptic number.

11275988724 is a gapful number since it is divisible by the number (14) 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 11275988724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20163225600).

11275988724 is an abundant number, since it is smaller than the sum of its proper divisors (29050462476).

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

11275988724 is a wasteful number, since it uses less digits than its factorization.

11275988724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2892 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

It can be divided in two parts, 11275 and 988724, that added together give a palindrome (999999).

The spelling of 11275988724 in words is "eleven billion, two hundred seventy-five million, nine hundred eighty-eight thousand, seven hundred twenty-four".