11687328000 has 576 divisors, whose sum is σ = 43926704640. Its totient is φ = 3097958400.

The previous prime is 11687327999. The next prime is 11687328041. The reversal of 11687328000 is 82378611.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69983917 + ... + 69984083.

It is an arithmetic number, because the mean of its divisors is an integer number (76261640).

Almost surely, 2^11687328000 is an apocalyptic number.

11687328000 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 11687328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21963352320).

11687328000 is an abundant number, since it is smaller than the sum of its proper divisors (32239376640).

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

11687328000 is an frugal number, since it uses more digits than its factorization.

11687328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11687328000 in words is "eleven billion, six hundred eighty-seven million, three hundred twenty-eight thousand".