11943624960 has 864 divisors, whose sum is σ = 47140853760. Its totient is φ = 2884460544.

The previous prime is 11943624919. The next prime is 11943624961. The reversal of 11943624960 is 6942634911.

11943624960 is a `hidden beast` number, since 1 + 19 + 4 + 3 + 624 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11943624961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254119657 + ... + 254119703.

Almost surely, 2^11943624960 is an apocalyptic number.

11943624960 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 11943624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23570426880).

11943624960 is an abundant number, since it is smaller than the sum of its proper divisors (35197228800).

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

11943624960 is an equidigital number, since it uses as much as digits as its factorization.

11943624960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 11943624960 in words is "eleven billion, nine hundred forty-three million, six hundred twenty-four thousand, nine hundred sixty".