85784684214528 has 1440 divisors, whose sum is σ = 300282202035200. Its totient is φ = 24121973145600.

The previous prime is 85784684214413. The next prime is 85784684214557. The reversal of 85784684214528 is 82541248648758.

85784684214528 is a `hidden beast` number, since 8 + 5 + 7 + 8 + 4 + 6 + 84 + 2 + 14 + 528 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 64939200108 + ... + 64939201428.

Almost surely, 2^{85784684214528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85784684214528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150141101017600).

85784684214528 is an abundant number, since it is smaller than the sum of its proper divisors (214497517820672).

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

85784684214528 is a wasteful number, since it uses less digits than its factorization.

85784684214528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1798 counting only the distinct ones).

The product of its digits is 1101004800, while the sum is 72.

The spelling of 85784684214528 in words is "eighty-five trillion, seven hundred eighty-four billion, six hundred eighty-four million, two hundred fourteen thousand, five hundred twenty-eight".