85386307200 has 384 divisors, whose sum is σ = 288045046080. Its totient is φ = 22223585280.

The previous prime is 85386307199. The next prime is 85386307207. The reversal of 85386307200 is 270368358.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (85386307207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 143990104 + ... + 143990696.

Almost surely, 2^85386307200 is an apocalyptic number.

85386307200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85386307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144022523040).

85386307200 is an abundant number, since it is smaller than the sum of its proper divisors (202658738880).

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

85386307200 is a wasteful number, since it uses less digits than its factorization.

85386307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 85386307200 in words is "eighty-five billion, three hundred eighty-six million, three hundred seven thousand, two hundred".