11249244720 has 240 divisors, whose sum is σ = 43573907520. Its totient is φ = 2547542016.

The previous prime is 11249244703. The next prime is 11249244767. The reversal of 11249244720 is 2744294211.

It is a happy number.

11249244720 is a `hidden beast` number, since 1 + 124 + 92 + 447 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539122 + ... + 559598.

It is an arithmetic number, because the mean of its divisors is an integer number (181557948).

Almost surely, 2^11249244720 is an apocalyptic number.

11249244720 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 11249244720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21786953760).

11249244720 is an abundant number, since it is smaller than the sum of its proper divisors (32324662800).

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

11249244720 is a wasteful number, since it uses less digits than its factorization.

11249244720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20612 (or 20603 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11249244720 in words is "eleven billion, two hundred forty-nine million, two hundred forty-four thousand, seven hundred twenty".