11952830240 has 144 divisors (see below), whose sum is σ = 31500174888. Its totient is φ = 4260544512.

The previous prime is 11952830231. The next prime is 11952830297. The reversal of 11952830240 is 4203825911.

It is a Cunningham number, because it is equal to 109329²-1.

It can be written as a sum of positive squares in 12 ways, for example, as 44782864 + 11908047376 = 6692^2 + 109124^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11952830240.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1745864 + ... + 1752696.

Almost surely, 2^11952830240 is an apocalyptic number.

11952830240 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 11952830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15750087444).

11952830240 is an abundant number, since it is smaller than the sum of its proper divisors (19547344648).

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

11952830240 is a wasteful number, since it uses less digits than its factorization.

11952830240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6919 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 11952830240 in words is "eleven billion, nine hundred fifty-two million, eight hundred thirty thousand, two hundred forty".