853338191160 has 256 divisors, whose sum is σ = 3164676480000. Its totient is φ = 179251310592.

The previous prime is 853338191141. The next prime is 853338191183. The reversal of 853338191160 is 61191833358.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2306716 + ... + 2650964.

It is an arithmetic number, because the mean of its divisors is an integer number (12362017500).

Almost surely, 2^853338191160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853338191160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582338240000).

853338191160 is an abundant number, since it is smaller than the sum of its proper divisors (2311338288840).

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

853338191160 is a wasteful number, since it uses less digits than its factorization.

853338191160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344510 (or 344506 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 853338191160 in words is "eight hundred fifty-three billion, three hundred thirty-eight million, one hundred ninety-one thousand, one hundred sixty".