18867083397120 has 960 divisors, whose sum is σ = 77516030592000. Its totient is φ = 4299657707520.

The previous prime is 18867083397119. The next prime is 18867083397161. The reversal of 18867083397120 is 2179338076881.

18867083397120 is a `hidden beast` number, since 1 + 8 + 86 + 70 + 83 + 397 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2026317265 + ... + 2026326575.

It is an arithmetic number, because the mean of its divisors is an integer number (80745865200).

Almost surely, 2^{18867083397120} is an apocalyptic number.

18867083397120 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 18867083397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38758015296000).

18867083397120 is an abundant number, since it is smaller than the sum of its proper divisors (58648947194880).

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

18867083397120 is an equidigital number, since it uses as much as digits as its factorization.

18867083397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9706 (or 9677 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 18867083397120 in words is "eighteen trillion, eight hundred sixty-seven billion, eighty-three million, three hundred ninety-seven thousand, one hundred twenty".