85829238600 has 96 divisors (see below), whose sum is σ = 304080745920. Its totient is φ = 19618110720.

The previous prime is 85829238589. The next prime is 85829238601. The reversal of 85829238600 is 683292858.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (85829238601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10213567 + ... + 10221966.

It is an arithmetic number, because the mean of its divisors is an integer number (3167507770).

Almost surely, 2^85829238600 is an apocalyptic number.

It is an amenable number.

85829238600 is an abundant number, since it is smaller than the sum of its proper divisors (218251507320).

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

85829238600 is a wasteful number, since it uses less digits than its factorization.

85829238600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20435559 (or 20435550 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 85829238600 in words is "eighty-five billion, eight hundred twenty-nine million, two hundred thirty-eight thousand, six hundred".