85695667200 has 1980 divisors, whose sum is σ = 396015846072. Its totient is φ = 18048614400.

The previous prime is 85695667139. The next prime is 85695667223. The reversal of 85695667200 is 276659658.

It is a happy number.

85695667200 is a `hidden beast` number, since 8 + 5 + 6 + 9 + 566 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1980).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 179 ways as a sum of consecutive naturals, for example, 5040921592 + ... + 5040921608.

Almost surely, 2^85695667200 is an apocalyptic number.

85695667200 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 85695667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198007923036).

85695667200 is an abundant number, since it is smaller than the sum of its proper divisors (310320178872).

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

85695667200 is a wasteful number, since it uses less digits than its factorization.

85695667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 85695667200 in words is "eighty-five billion, six hundred ninety-five million, six hundred sixty-seven thousand, two hundred".