85867708164400 has 120 divisors (see below), whose sum is σ = 207546807341664. Its totient is φ = 34139055360000.

The previous prime is 85867708164379. The next prime is 85867708164419. The reversal of 85867708164400 is 446180776858.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1217929150 + ... + 1217999650.

Almost surely, 2^{85867708164400} is an apocalyptic number.

85867708164400 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 85867708164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103773403670832).

85867708164400 is an abundant number, since it is smaller than the sum of its proper divisors (121679099177264).

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

85867708164400 is a wasteful number, since it uses less digits than its factorization.

85867708164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88919 (or 88908 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 64.

The spelling of 85867708164400 in words is "eighty-five trillion, eight hundred sixty-seven billion, seven hundred eight million, one hundred sixty-four thousand, four hundred".