85639831200 has 1728 divisors, whose sum is σ = 404294123520. Its totient is φ = 17107200000.

The previous prime is 85639831187. The next prime is 85639831219. The reversal of 85639831200 is 213893658.

It is a happy number.

85639831200 is a `hidden beast` number, since 8 + 5 + 639 + 8 + 3 + 1 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 567151125 + ... + 567151275.

Almost surely, 2^85639831200 is an apocalyptic number.

85639831200 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 85639831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202147061760).

85639831200 is an abundant number, since it is smaller than the sum of its proper divisors (318654292320).

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

85639831200 is a wasteful number, since it uses less digits than its factorization.

85639831200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 85639831200 in words is "eighty-five billion, six hundred thirty-nine million, eight hundred thirty-one thousand, two hundred".