85020062724 has 135 divisors (see below), whose sum is σ = 225927000453. Its totient is φ = 27879904512.

The previous prime is 85020062707. The next prime is 85020062759. The reversal of 85020062724 is 42726002058.

The square root of 85020062724 is 291582.

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

85020062724 is a `hidden beast` number, since 8 + 5 + 0 + 2 + 0 + 0 + 627 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38177252100 + 46842810624 = 195390^2 + 216432^2 .

It is a super-2 number, since 2×85020062724² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 44 ways as a sum of consecutive naturals, for example, 509102089 + ... + 509102255.

Almost surely, 2^85020062724 is an apocalyptic number.

85020062724 is the 291582-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85020062724

85020062724 is an abundant number, since it is smaller than the sum of its proper divisors (140906937729).

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

85020062724 is an equidigital number, since it uses as much as digits as its factorization.

85020062724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 85020062724 by its sum of digits (36), we get a square (3060722258064 = 1749492²).

85020062724 divided by its sum of digits (36) gives a square (2361668409 = 48597²).

The spelling of 85020062724 in words is "eighty-five billion, twenty million, sixty-two thousand, seven hundred twenty-four".