18682066771200 has 972 divisors, whose sum is σ = 80204267515008. Its totient is φ = 4132419379200.

The previous prime is 18682066771139. The next prime is 18682066771229. The reversal of 18682066771200 is 217766028681.

It is a super-3 number, since 3×18682066771200³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 87387639 + ... + 87601161.

Almost surely, 2^{18682066771200} is an apocalyptic number.

18682066771200 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 18682066771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40102133757504).

18682066771200 is an abundant number, since it is smaller than the sum of its proper divisors (61522200743808).

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

18682066771200 is a wasteful number, since it uses less digits than its factorization.

18682066771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213600 (or 213571 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 18682066771200 in words is "eighteen trillion, six hundred eighty-two billion, sixty-six million, seven hundred seventy-one thousand, two hundred".