85829433492858 has 96 divisors (see below), whose sum is σ = 189373140855360. Its totient is φ = 25913789932800.

The previous prime is 85829433492833. The next prime is 85829433492953.

85829433492858 is nontrivially palindromic in base 10.

85829433492858 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3473597808 + ... + 3473622516.

It is an arithmetic number, because the mean of its divisors is an integer number (1972636883910).

Almost surely, 2^{85829433492858} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85829433492858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94686570427680).

85829433492858 is an abundant number, since it is smaller than the sum of its proper divisors (103543707362502).

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

85829433492858 is a wasteful number, since it uses less digits than its factorization.

85829433492858 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42044 (or 42033 counting only the distinct ones).

The product of its digits is 4777574400, while the sum is 78.

The spelling of 85829433492858 in words is "eighty-five trillion, eight hundred twenty-nine billion, four hundred thirty-three million, four hundred ninety-two thousand, eight hundred fifty-eight".