8353858268160 has 352 divisors, whose sum is σ = 30319789317120. Its totient is φ = 2180296065024.

The previous prime is 8353858268143. The next prime is 8353858268251. The reversal of 8353858268160 is 618628583538.

8353858268160 is a `hidden beast` number, since 8 + 3 + 5 + 38 + 582 + 6 + 8 + 16 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5854407 + ... + 7140153.

Almost surely, 2^{8353858268160} is an apocalyptic number.

8353858268160 is a gapful number since it is divisible by the number (80) 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 8353858268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15159894658560).

8353858268160 is an abundant number, since it is smaller than the sum of its proper divisors (21965931048960).

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

8353858268160 is a wasteful number, since it uses less digits than its factorization.

8353858268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285828 (or 1285804 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 8353858268160 in words is "eight trillion, three hundred fifty-three billion, eight hundred fifty-eight million, two hundred sixty-eight thousand, one hundred sixty".