85284569774880 has 192 divisors, whose sum is σ = 341138279220480. Its totient is φ = 19493615941632.

The previous prime is 85284569774879. The next prime is 85284569775037. The reversal of 85284569774880 is 8847796548258.

85284569774880 is a `hidden beast` number, since 8 + 5 + 2 + 8 + 4 + 5 + 69 + 77 + 488 + 0 = 666.

It is a super-3 number, since 3×85284569774880³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85284569774880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1410098229 + ... + 1410158708.

It is an arithmetic number, because the mean of its divisors is an integer number (1776761870940).

Almost surely, 2^{85284569774880} is an apocalyptic number.

85284569774880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85284569774880 is an abundant number, since it is smaller than the sum of its proper divisors (255853709445600).

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

85284569774880 is a wasteful number, since it uses less digits than its factorization.

85284569774880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820256968 (or 2820256954 counting only the distinct ones).

The product of its (nonzero) digits is 8670412800, while the sum is 81.

The spelling of 85284569774880 in words is "eighty-five trillion, two hundred eighty-four billion, five hundred sixty-nine million, seven hundred seventy-four thousand, eight hundred eighty".