11887839288000 has 3360 divisors, whose sum is σ = 53165487735360. Its totient is φ = 2599000473600.

The previous prime is 11887839287993. The next prime is 11887839288067. The reversal of 11887839288000 is 88293878811.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 46256183872 + ... + 46256184128.

It is an arithmetic number, because the mean of its divisors is an integer number (15823061826).

Almost surely, 2^{11887839288000} is an apocalyptic number.

11887839288000 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 11887839288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26582743867680).

11887839288000 is an abundant number, since it is smaller than the sum of its proper divisors (41277648447360).

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

11887839288000 is a wasteful number, since it uses less digits than its factorization.

11887839288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 63.

The spelling of 11887839288000 in words is "eleven trillion, eight hundred eighty-seven billion, eight hundred thirty-nine million, two hundred eighty-eight thousand".