85966171200 has 1512 divisors, whose sum is σ = 401236110912. Its totient is φ = 16995778560.

The previous prime is 85966171177. The next prime is 85966171211. The reversal of 85966171200 is 217166958.

85966171200 is a `hidden beast` number, since 8 + 5 + 9 + 6 + 617 + 1 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 378705487 + ... + 378705713.

Almost surely, 2^85966171200 is an apocalyptic number.

85966171200 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 85966171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200618055456).

85966171200 is an abundant number, since it is smaller than the sum of its proper divisors (315269939712).

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

85966171200 is a wasteful number, since it uses less digits than its factorization.

85966171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 85966171200 in words is "eighty-five billion, nine hundred sixty-six million, one hundred seventy-one thousand, two hundred".