85679563622400 has 2880 divisors, whose sum is σ = 356202714067200. Its totient is φ = 20262887424000.

The previous prime is 85679563622399. The next prime is 85679563622447. The reversal of 85679563622400 is 422636597658.

85679563622400 is a `hidden beast` number, since 8 + 5 + 6 + 7 + 9 + 563 + 6 + 22 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 654042470335 + ... + 654042470465.

It is an arithmetic number, because the mean of its divisors is an integer number (123681497940).

Almost surely, 2^{85679563622400} is an apocalyptic number.

85679563622400 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 85679563622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178101357033600).

85679563622400 is an abundant number, since it is smaller than the sum of its proper divisors (270523150444800).

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

85679563622400 is an equidigital number, since it uses as much as digits as its factorization.

85679563622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 85679563622400 in words is "eighty-five trillion, six hundred seventy-nine billion, five hundred sixty-three million, six hundred twenty-two thousand, four hundred".