85000100100058 has 32 divisors (see below), whose sum is σ = 152616619919232. Its totient is φ = 34991464872000.

The previous prime is 85000100100017. The next prime is 85000100100079.

85000100100058 is nontrivially palindromic in base 10.

85000100100058 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×85000100100058² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85000100099999 and 85000100100035.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2803788118 + ... + 2803818433.

It is an arithmetic number, because the mean of its divisors is an integer number (4769269372476).

Almost surely, 2^{85000100100058} is an apocalyptic number.

85000100100058 is a deficient number, since it is larger than the sum of its proper divisors (67616519819174).

85000100100058 is a wasteful number, since it uses less digits than its factorization.

85000100100058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5607606630.

The product of its (nonzero) digits is 1600, while the sum is 28.

It can be divided in two parts, 85000100 and 100058, that added together give a palindrome (85100158).

The spelling of 85000100100058 in words is "eighty-five trillion, one hundred million, one hundred thousand, fifty-eight".