16485879618000 has 1920 divisors, whose sum is σ = 66752417571840. Its totient is φ = 3906114969600.

The previous prime is 16485879617983. The next prime is 16485879618011. The reversal of 16485879618000 is 81697858461.

16485879618000 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 5 + 8 + 7 + 9 + 618 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25480493677 + ... + 25480494323.

It is an arithmetic number, because the mean of its divisors is an integer number (34766884152).

Almost surely, 2^{16485879618000} is an apocalyptic number.

16485879618000 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 16485879618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33376208785920).

16485879618000 is an abundant number, since it is smaller than the sum of its proper divisors (50266537953840).

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

16485879618000 is a wasteful number, since it uses less digits than its factorization.

16485879618000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 16485879618000 in words is "sixteen trillion, four hundred eighty-five billion, eight hundred seventy-nine million, six hundred eighteen thousand".