85538521829 has 16 divisors (see below), whose sum is σ = 90523474800. Its totient is φ = 80710027776.

The previous prime is 85538521819. The next prime is 85538521837. The reversal of 85538521829 is 92812583558.

It can be written as a sum of positive squares in 8 ways, for example, as 8030848225 + 77507673604 = 89615^2 + 278402^2 .

It is a cyclic number.

It is not a de Polignac number, because 85538521829 - 2²⁰ = 85537473253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85538521819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45407 + ... + 416099.

It is an arithmetic number, because the mean of its divisors is an integer number (5657717175).

Almost surely, 2^85538521829 is an apocalyptic number.

It is an amenable number.

85538521829 is a deficient number, since it is larger than the sum of its proper divisors (4984952971).

85538521829 is a wasteful number, since it uses less digits than its factorization.

85538521829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370904.

The product of its digits is 6912000, while the sum is 56.

The spelling of 85538521829 in words is "eighty-five billion, five hundred thirty-eight million, five hundred twenty-one thousand, eight hundred twenty-nine".