85799889929329 has 27 divisors (see below), whose sum is σ = 92125311654393. Its totient is φ = 79896739145544.

The previous prime is 85799889929323. The next prime is 85799889929357. The reversal of 85799889929329 is 92392998899758.

The square root of 85799889929329 is 9262823.

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

It is not a de Polignac number, because 85799889929329 - 2³⁵ = 85765530190961 is a prime.

It is a super-2 number, since 2×85799889929329² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85799889929323) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10383620452 + ... + 10383628714.

Almost surely, 2^{85799889929329} is an apocalyptic number.

85799889929329 is the 9262823-rd square number.

85799889929329 is the 4631412-nd centered octagonal number.

It is an amenable number.

85799889929329 is a deficient number, since it is larger than the sum of its proper divisors (6325421725064).

85799889929329 is an frugal number, since it uses more digits than its factorization.

85799889929329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16682 (or 8341 counting only the distinct ones).

The product of its digits is 114281072640, while the sum is 97.

The spelling of 85799889929329 in words is "eighty-five trillion, seven hundred ninety-nine billion, eight hundred eighty-nine million, nine hundred twenty-nine thousand, three hundred twenty-nine".