85209248000 has 72 divisors (see below), whose sum is σ = 212266967640. Its totient is φ = 34083686400.

The previous prime is 85209247993. The next prime is 85209248027. The reversal of 85209248000 is 84290258.

It can be written as a sum of positive squares in 4 ways, for example, as 188018944 + 85021229056 = 13712^2 + 291584^2 .

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 7 ways as a sum of consecutive naturals, for example, 1299395 + ... + 1363394.

Almost surely, 2^85209248000 is an apocalyptic number.

85209248000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85209248000 is an abundant number, since it is smaller than the sum of its proper divisors (127057719640).

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

85209248000 is an equidigital number, since it uses as much as digits as its factorization.

85209248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662820 (or 2662796 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 85209248000 in words is "eighty-five billion, two hundred nine million, two hundred forty-eight thousand".