85168574426880 has 1152 divisors, whose sum is σ = 350948350771200. Its totient is φ = 19155377995776.

The previous prime is 85168574426867. The next prime is 85168574426891. The reversal of 85168574426880 is 8862447586158.

It is a happy number.

85168574426880 is a `hidden beast` number, since 8 + 5 + 1 + 6 + 8 + 574 + 42 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 85168574426799 and 85168574426808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18202300381 + ... + 18202305059.

It is an arithmetic number, because the mean of its divisors is an integer number (304642665600).

Almost surely, 2^{85168574426880} is an apocalyptic number.

85168574426880 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 85168574426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175474175385600).

85168574426880 is an abundant number, since it is smaller than the sum of its proper divisors (265779776344320).

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

85168574426880 is a wasteful number, since it uses less digits than its factorization.

85168574426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 825753600, while the sum is 72.

The spelling of 85168574426880 in words is "eighty-five trillion, one hundred sixty-eight billion, five hundred seventy-four million, four hundred twenty-six thousand, eight hundred eighty".