85028415200 has 72 divisors (see below), whose sum is σ = 209715764832. Its totient is φ = 33660702720.

The previous prime is 85028415179. The next prime is 85028415233. The reversal of 85028415200 is 251482058.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 470264 + ... + 625463.

It is an arithmetic number, because the mean of its divisors is an integer number (2912718956).

Almost surely, 2^85028415200 is an apocalyptic number.

85028415200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85028415200 is an abundant number, since it is smaller than the sum of its proper divisors (124687349632).

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

85028415200 is a wasteful number, since it uses less digits than its factorization.

85028415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095844 (or 1095831 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

Adding to 85028415200 its reverse (251482058), we get a palindrome (85279897258).

The spelling of 85028415200 in words is "eighty-five billion, twenty-eight million, four hundred fifteen thousand, two hundred".