85159816200 has 72 divisors (see below), whose sum is σ = 285995055450. Its totient is φ = 22709283840.

The previous prime is 85159816193. The next prime is 85159816253. The reversal of 85159816200 is 261895158.

It is a happy number.

85159816200 is a `hidden beast` number, since 8 + 5 + 15 + 9 + 8 + 1 + 620 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 61384026564 + 23775789636 = 247758^2 + 154194^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23653705 + ... + 23657304.

Almost surely, 2^85159816200 is an apocalyptic number.

It is an amenable number.

85159816200 is an abundant number, since it is smaller than the sum of its proper divisors (200835239250).

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

85159816200 is a wasteful number, since it uses less digits than its factorization.

85159816200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47311031 (or 47311019 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 85159816200 in words is "eighty-five billion, one hundred fifty-nine million, eight hundred sixteen thousand, two hundred".