853294339296 has 960 divisors, whose sum is σ = 3138753784320. Its totient is φ = 221978050560.

The previous prime is 853294339267. The next prime is 853294339333. The reversal of 853294339296 is 692933492358.

853294339296 is a `hidden beast` number, since 8 + 5 + 3 + 2 + 9 + 4 + 339 + 296 = 666.

It is a super-2 number, since 2×853294339296² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (75582720) is a multiple of the sum of its prime divisors (972).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1031794435 + ... + 1031795261.

It is an arithmetic number, because the mean of its divisors is an integer number (3269535192).

Almost surely, 2^853294339296 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 853294339296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569376892160).

853294339296 is an abundant number, since it is smaller than the sum of its proper divisors (2285459445024).

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

853294339296 is a wasteful number, since it uses less digits than its factorization.

853294339296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 972 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 63.

The spelling of 853294339296 in words is "eight hundred fifty-three billion, two hundred ninety-four million, three hundred thirty-nine thousand, two hundred ninety-six".