85173629427 has 24 divisors (see below), whose sum is σ = 125202976080. Its totient is φ = 55781196480.

The previous prime is 85173629413. The next prime is 85173629447. The reversal of 85173629427 is 72492637158.

It is a happy number.

85173629427 is a `hidden beast` number, since 8 + 5 + 1 + 7 + 3 + 629 + 4 + 2 + 7 = 666.

It is not a de Polignac number, because 85173629427 - 2⁶ = 85173629363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85173629447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340224 + ... + 534882.

It is an arithmetic number, because the mean of its divisors is an integer number (5216790670).

Almost surely, 2^85173629427 is an apocalyptic number.

85173629427 is a deficient number, since it is larger than the sum of its proper divisors (40029346653).

85173629427 is a wasteful number, since it uses less digits than its factorization.

85173629427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195523 (or 195520 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 85173629427 in words is "eighty-five billion, one hundred seventy-three million, six hundred twenty-nine thousand, four hundred twenty-seven".