18082901168640 has 3200 divisors, whose sum is σ = 85344912576000. Its totient is φ = 3623365509120.

The previous prime is 18082901168627. The next prime is 18082901168663. The reversal of 18082901168640 is 4686110928081.

It is a happy number.

18082901168640 is a `hidden beast` number, since 180 + 8 + 290 + 116 + 8 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 22688708722 + ... + 22688709518.

It is an arithmetic number, because the mean of its divisors is an integer number (26670285180).

Almost surely, 2^{18082901168640} is an apocalyptic number.

18082901168640 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 18082901168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42672456288000).

18082901168640 is an abundant number, since it is smaller than the sum of its proper divisors (67262011407360).

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

18082901168640 is an equidigital number, since it uses as much as digits as its factorization.

18082901168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 18082901168640 in words is "eighteen trillion, eighty-two billion, nine hundred one million, one hundred sixty-eight thousand, six hundred forty".