85067584801800 has 96 divisors (see below), whose sum is σ = 263710983410880. Its totient is φ = 22684562784000.

The previous prime is 85067584801751. The next prime is 85067584801817. The reversal of 85067584801800 is 810848576058.

It is a super-2 number, since 2×85067584801800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164712774 + ... + 165228426.

It is an arithmetic number, because the mean of its divisors is an integer number (2746989410530).

Almost surely, 2^{85067584801800} is an apocalyptic number.

It is an amenable number.

85067584801800 is an abundant number, since it is smaller than the sum of its proper divisors (178643398609080).

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

85067584801800 is a wasteful number, since it uses less digits than its factorization.

85067584801800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790623 (or 790614 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 60.

The spelling of 85067584801800 in words is "eighty-five trillion, sixty-seven billion, five hundred eighty-four million, eight hundred one thousand, eight hundred".