85194547200 has 1344 divisors, whose sum is σ = 374444605440. Its totient is φ = 18579456000.

The previous prime is 85194547199. The next prime is 85194547219. The reversal of 85194547200 is 274549158.

85194547200 is a `hidden beast` number, since 85 + 1 + 9 + 4 + 547 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×85194547200² (a number of 23 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 1199923165 + ... + 1199923235.

Almost surely, 2^85194547200 is an apocalyptic number.

85194547200 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 85194547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187222302720).

85194547200 is an abundant number, since it is smaller than the sum of its proper divisors (289250058240).

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

85194547200 is a wasteful number, since it uses less digits than its factorization.

85194547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 85194547200 in words is "eighty-five billion, one hundred ninety-four million, five hundred forty-seven thousand, two hundred".