85199664211200 has 2592 divisors, whose sum is σ = 403337144770560. Its totient is φ = 16611626188800.

The previous prime is 85199664211163. The next prime is 85199664211213. The reversal of 85199664211200 is 211246699158.

85199664211200 is a `hidden beast` number, since 8 + 5 + 1 + 9 + 9 + 6 + 6 + 421 + 1 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27671211261 + ... + 27671214339.

Almost surely, 2^{85199664211200} is an apocalyptic number.

85199664211200 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 85199664211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201668572385280).

85199664211200 is an abundant number, since it is smaller than the sum of its proper divisors (318137480559360).

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

85199664211200 is a wasteful number, since it uses less digits than its factorization.

85199664211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 85199664211200 in words is "eighty-five trillion, one hundred ninety-nine billion, six hundred sixty-four million, two hundred eleven thousand, two hundred".