85830836800 has 42 divisors (see below), whose sum is σ = 211197506738. Its totient is φ = 34332334080.

The previous prime is 85830836789. The next prime is 85830836821. The reversal of 85830836800 is 863803858.

It can be written as a sum of positive squares in 3 ways, for example, as 26228450304 + 59602386496 = 161952^2 + 244136^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26820537 + ... + 26823736.

Almost surely, 2^85830836800 is an apocalyptic number.

85830836800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85830836800 is an abundant number, since it is smaller than the sum of its proper divisors (125366669938).

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

85830836800 is a wasteful number, since it uses less digits than its factorization.

85830836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53644295 (or 53644280 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The spelling of 85830836800 in words is "eighty-five billion, eight hundred thirty million, eight hundred thirty-six thousand, eight hundred".