85385029121604 has 81 divisors (see below), whose sum is σ = 219439343781021. Its totient is φ = 27993982667040.

The previous prime is 85385029121591. The next prime is 85385029121647. The reversal of 85385029121604 is 40612192058358.

The square root of 85385029121604 is 9240402.

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

85385029121604 is a `hidden beast` number, since 8 + 5 + 3 + 8 + 5 + 0 + 2 + 9 + 1 + 21 + 604 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2776562355204 + 82608466766400 = 1666302^2 + 9088920^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3381974509 + ... + 3381999755.

Almost surely, 2^{85385029121604} is an apocalyptic number.

85385029121604 is the 9240402-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85385029121604

85385029121604 is an abundant number, since it is smaller than the sum of its proper divisors (134054314659417).

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

85385029121604 is an frugal number, since it uses more digits than its factorization.

85385029121604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50626 (or 25313 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 85385029121604 in words is "eighty-five trillion, three hundred eighty-five billion, twenty-nine million, one hundred twenty-one thousand, six hundred four".