85282689024 has 455 divisors, whose sum is σ = 277007439983. Its totient is φ = 26240827392.

The previous prime is 85282689013. The next prime is 85282689031. The reversal of 85282689024 is 42098628258.

It is a happy number.

The square root of 85282689024 is 292032.

It is a perfect power (a square), and thus also a powerful number.

85282689024 is a `hidden beast` number, since 8 + 528 + 2 + 6 + 8 + 90 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42284519424 + 42998169600 = 205632^2 + 207360^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 6560206842 + ... + 6560206854.

Almost surely, 2^85282689024 is an apocalyptic number.

85282689024 is the 292032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85282689024

85282689024 is an abundant number, since it is smaller than the sum of its proper divisors (191724750959).

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

85282689024 is an frugal number, since it uses more digits than its factorization.

85282689024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 85282689024 in words is "eighty-five billion, two hundred eighty-two million, six hundred eighty-nine thousand, twenty-four".