11985007641960 has 128 divisors (see below), whose sum is σ = 36865751045760. Its totient is φ = 3115191398400.

The previous prime is 11985007641923. The next prime is 11985007641973. The reversal of 11985007641960 is 6914670058911.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11985007641960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4251324 + ... + 6484116.

It is an arithmetic number, because the mean of its divisors is an integer number (288013680045).

Almost surely, 2^{11985007641960} is an apocalyptic number.

11985007641960 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 11985007641960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18432875522880).

11985007641960 is an abundant number, since it is smaller than the sum of its proper divisors (24880743403800).

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

11985007641960 is a wasteful number, since it uses less digits than its factorization.

11985007641960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233939 (or 2233935 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 57.

The spelling of 11985007641960 in words is "eleven trillion, nine hundred eighty-five billion, seven million, six hundred forty-one thousand, nine hundred sixty".