85571728368 has 80 divisors (see below), whose sum is σ = 252997378560. Its totient is φ = 24414513408.

The previous prime is 85571728351. The next prime is 85571728369. The reversal of 85571728368 is 86382717558.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85571728369) 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, 58621 + ... + 417827.

It is an arithmetic number, because the mean of its divisors is an integer number (3162467232).

Almost surely, 2^85571728368 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 85571728368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126498689280).

85571728368 is an abundant number, since it is smaller than the sum of its proper divisors (167425650192).

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

85571728368 is a wasteful number, since it uses less digits than its factorization.

85571728368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359934 (or 359928 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 60.

The spelling of 85571728368 in words is "eighty-five billion, five hundred seventy-one million, seven hundred twenty-eight thousand, three hundred sixty-eight".