85859679376800 has 864 divisors, whose sum is σ = 358046808537600. Its totient is φ = 18943009505280.

The previous prime is 85859679376787. The next prime is 85859679376811. The reversal of 85859679376800 is 867397695858.

85859679376800 is a `hidden beast` number, since 8 + 5 + 85 + 96 + 7 + 9 + 376 + 80 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85859679376800.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7552081516 + ... + 7552092884.

It is an arithmetic number, because the mean of its divisors is an integer number (414406028400).

Almost surely, 2^{85859679376800} is an apocalyptic number.

85859679376800 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 85859679376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179023404268800).

85859679376800 is an abundant number, since it is smaller than the sum of its proper divisors (272187129160800).

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

85859679376800 is a wasteful number, since it uses less digits than its factorization.

85859679376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16598 (or 16582 counting only the distinct ones).

The product of its (nonzero) digits is 5486745600, while the sum is 81.

The spelling of 85859679376800 in words is "eighty-five trillion, eight hundred fifty-nine billion, six hundred seventy-nine million, three hundred seventy-six thousand, eight hundred".