85299811200 has 1152 divisors, whose sum is σ = 335622268800. Its totient is φ = 20575027200.

The previous prime is 85299811199. The next prime is 85299811249. The reversal of 85299811200 is 211899258.

85299811200 is a `hidden beast` number, since 8 + 529 + 9 + 8 + 112 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 1609430374 + ... + 1609430426.

It is an arithmetic number, because the mean of its divisors is an integer number (291338775).

Almost surely, 2^85299811200 is an apocalyptic number.

85299811200 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 85299811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167811134400).

85299811200 is an abundant number, since it is smaller than the sum of its proper divisors (250322457600).

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

85299811200 is a wasteful number, since it uses less digits than its factorization.

85299811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 85299811200 in words is "eighty-five billion, two hundred ninety-nine million, eight hundred eleven thousand, two hundred".