11984232960 has 1280 divisors, whose sum is σ = 54305095680. Its totient is φ = 2441871360.

The previous prime is 11984232947. The next prime is 11984232971. The reversal of 11984232960 is 6923248911.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254983657 + ... + 254983703.

It is an arithmetic number, because the mean of its divisors is an integer number (42425856).

Almost surely, 2^11984232960 is an apocalyptic number.

11984232960 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 11984232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27152547840).

11984232960 is an abundant number, since it is smaller than the sum of its proper divisors (42320862720).

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

11984232960 is a wasteful number, since it uses less digits than its factorization.

11984232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 11984232960 in words is "eleven billion, nine hundred eighty-four million, two hundred thirty-two thousand, nine hundred sixty".