85269994603200 has 2268 divisors, whose sum is σ = 363006281985984. Its totient is φ = 18947478528000.

The previous prime is 85269994603187. The next prime is 85269994603223. The reversal of 85269994603200 is 230649996258.

85269994603200 is a `hidden beast` number, since 8 + 5 + 2 + 69 + 99 + 460 + 3 + 20 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 19499196214 + ... + 19499200586.

It is an arithmetic number, because the mean of its divisors is an integer number (160055679888).

Almost surely, 2^{85269994603200} is an apocalyptic number.

85269994603200 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 85269994603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181503140992992).

85269994603200 is an abundant number, since it is smaller than the sum of its proper divisors (277736287382784).

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

85269994603200 is a wasteful number, since it uses less digits than its factorization.

85269994603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 85269994603200 in words is "eighty-five trillion, two hundred sixty-nine billion, nine hundred ninety-four million, six hundred three thousand, two hundred".