12087382857984 has 1728 divisors, whose sum is σ = 44353421199360. Its totient is φ = 3273235660800.

The previous prime is 12087382857917. The next prime is 12087382857989. The reversal of 12087382857984 is 48975828378021.

12087382857984 is a `hidden beast` number, since 1 + 2 + 0 + 87 + 382 + 85 + 7 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×12087382857984² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (12087382857989) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51877179532 + ... + 51877179764.

It is an arithmetic number, because the mean of its divisors is an integer number (25667489120).

Almost surely, 2^{12087382857984} is an apocalyptic number.

12087382857984 is a gapful number since it is divisible by the number (14) 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 12087382857984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22176710599680).

12087382857984 is an abundant number, since it is smaller than the sum of its proper divisors (32266038341376).

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

12087382857984 is an frugal number, since it uses more digits than its factorization.

12087382857984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 12087382857984 in words is "twelve trillion, eighty-seven billion, three hundred eighty-two million, eight hundred fifty-seven thousand, nine hundred eighty-four".