18682890912000 has 2592 divisors, whose sum is σ = 83784258230400. Its totient is φ = 3973681152000.

The previous prime is 18682890911959. The next prime is 18682890912011. The reversal of 18682890912000 is 21909828681.

18682890912000 is a `hidden beast` number, since 18 + 68 + 289 + 0 + 91 + 200 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15819551410 + ... + 15819552590.

It is an arithmetic number, because the mean of its divisors is an integer number (32324173700).

Almost surely, 2^{18682890912000} is an apocalyptic number.

18682890912000 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 18682890912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41892129115200).

18682890912000 is an abundant number, since it is smaller than the sum of its proper divisors (65101367318400).

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

18682890912000 is a wasteful number, since it uses less digits than its factorization.

18682890912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 18682890912000 in words is "eighteen trillion, six hundred eighty-two billion, eight hundred ninety million, nine hundred twelve thousand".