11952917424 has 240 divisors, whose sum is σ = 39316912128. Its totient is φ = 3319100928.

The previous prime is 11952917419. The next prime is 11952917491. The reversal of 11952917424 is 42471925911.

11952917424 is a `hidden beast` number, since 1 + 195 + 29 + 17 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11952917424.

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, 7437229 + ... + 7438835.

Almost surely, 2^11952917424 is an apocalyptic number.

11952917424 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 11952917424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19658456064).

11952917424 is an abundant number, since it is smaller than the sum of its proper divisors (27363994704).

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

11952917424 is a wasteful number, since it uses less digits than its factorization.

11952917424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1823 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 11952917424 in words is "eleven billion, nine hundred fifty-two million, nine hundred seventeen thousand, four hundred twenty-four".