18028846259200 has 1056 divisors, whose sum is σ = 54243197927424. Its totient is φ = 5813078261760.

The previous prime is 18028846259191. The next prime is 18028846259227. The reversal of 18028846259200 is 295264882081.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24264934029 + ... + 24264934771.

It is an arithmetic number, because the mean of its divisors is an integer number (51366664704).

Almost surely, 2^{18028846259200} is an apocalyptic number.

18028846259200 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 18028846259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27121598963712).

18028846259200 is an abundant number, since it is smaller than the sum of its proper divisors (36214351668224).

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

18028846259200 is a wasteful number, since it uses less digits than its factorization.

18028846259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 55.

The spelling of 18028846259200 in words is "eighteen trillion, twenty-eight billion, eight hundred forty-six million, two hundred fifty-nine thousand, two hundred".