18853827248160 has 240 divisors, whose sum is σ = 66646168580376. Its totient is φ = 5019536535552.

The previous prime is 18853827248159. The next prime is 18853827248167. The reversal of 18853827248160 is 6184272835881.

18853827248160 is a `hidden beast` number, since 1 + 8 + 8 + 5 + 3 + 82 + 72 + 481 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13709513348496 + 5144313899664 = 3702636^2 + 2268108^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (18853827248167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6817414 + ... + 9175226.

Almost surely, 2^{18853827248160} is an apocalyptic number.

18853827248160 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 18853827248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33323084290188).

18853827248160 is an abundant number, since it is smaller than the sum of its proper divisors (47792341332216).

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

18853827248160 is a wasteful number, since it uses less digits than its factorization.

18853827248160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358457 (or 2358440 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 18853827248160 in words is "eighteen trillion, eight hundred fifty-three billion, eight hundred twenty-seven million, two hundred forty-eight thousand, one hundred sixty".