853684808064 has 128 divisors (see below), whose sum is σ = 2474635121280. Its totient is φ = 258599362560.

The previous prime is 853684808063. The next prime is 853684808071. The reversal of 853684808064 is 460808486358.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 853684807989 and 853684808007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853684808063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12202047 + ... + 12271809.

It is an arithmetic number, because the mean of its divisors is an integer number (19333086885).

Almost surely, 2^853684808064 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 853684808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237317560640).

853684808064 is an abundant number, since it is smaller than the sum of its proper divisors (1620950313216).

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

853684808064 is a wasteful number, since it uses less digits than its factorization.

853684808064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72688 (or 72676 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 60.

The spelling of 853684808064 in words is "eight hundred fifty-three billion, six hundred eighty-four million, eight hundred eight thousand, sixty-four".