85389009300 has 864 divisors, whose sum is σ = 339128016640. Its totient is φ = 18274222080.

The previous prime is 85389009289. The next prime is 85389009323. The reversal of 85389009300 is 390098358.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 442430004 + ... + 442430196.

Almost surely, 2^85389009300 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 85389009300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169564008320).

85389009300 is an abundant number, since it is smaller than the sum of its proper divisors (253739007340).

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

85389009300 is a wasteful number, since it uses less digits than its factorization.

85389009300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 85389009300 in words is "eighty-five billion, three hundred eighty-nine million, nine thousand, three hundred".