16587996966000 has 640 divisors, whose sum is σ = 60777209176320. Its totient is φ = 4377751142400.

The previous prime is 16587996965977. The next prime is 16587996966031. The reversal of 16587996966000 is 66969978561.

16587996966000 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 7 + 9 + 9 + 6 + 9 + 6 + 600 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16587996966000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 424258452 + ... + 424297548.

It is an arithmetic number, because the mean of its divisors is an integer number (94964389338).

Almost surely, 2^{16587996966000} is an apocalyptic number.

16587996966000 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 16587996966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30388604588160).

16587996966000 is an abundant number, since it is smaller than the sum of its proper divisors (44189212210320).

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

16587996966000 is an frugal number, since it uses more digits than its factorization.

16587996966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39238 (or 39204 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 16587996966000 in words is "sixteen trillion, five hundred eighty-seven billion, nine hundred ninety-six million, nine hundred sixty-six thousand".