11824130736 has 160 divisors (see below), whose sum is σ = 37169763840. Its totient is φ = 3569068800.

The previous prime is 11824130729. The next prime is 11824130761. The reversal of 11824130736 is 63703142811.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11824130736.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245046 + ... + 1254506.

It is an arithmetic number, because the mean of its divisors is an integer number (232311024).

Almost surely, 2^11824130736 is an apocalyptic number.

11824130736 is a gapful number since it is divisible by the number (16) 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 11824130736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18584881920).

11824130736 is an abundant number, since it is smaller than the sum of its proper divisors (25345633104).

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

11824130736 is a wasteful number, since it uses less digits than its factorization.

11824130736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9752 (or 9740 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11824130736 in words is "eleven billion, eight hundred twenty-four million, one hundred thirty thousand, seven hundred thirty-six".