86319172800 has 1680 divisors, whose sum is σ = 399242036160. Its totient is φ = 17836277760.

The previous prime is 86319172769. The next prime is 86319172813. The reversal of 86319172800 is 827191368.

86319172800 is a `hidden beast` number, since 8 + 631 + 9 + 1 + 7 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 447249504 + ... + 447249696.

Almost surely, 2^86319172800 is an apocalyptic number.

86319172800 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 86319172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199621018080).

86319172800 is an abundant number, since it is smaller than the sum of its proper divisors (312922863360).

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

86319172800 is a wasteful number, since it uses less digits than its factorization.

86319172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 86319172800 in words is "eighty-six billion, three hundred nineteen million, one hundred seventy-two thousand, eight hundred".