85080400209 has 96 divisors (see below), whose sum is σ = 147410485248. Its totient is φ = 46267200000.

The previous prime is 85080400201. The next prime is 85080400211. The reversal of 85080400209 is 90200408058.

It is not a de Polignac number, because 85080400209 - 2³ = 85080400201 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (85080400201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30373609 + ... + 30376409.

It is an arithmetic number, because the mean of its divisors is an integer number (1535525888).

Almost surely, 2^85080400209 is an apocalyptic number.

It is an amenable number.

85080400209 is a deficient number, since it is larger than the sum of its proper divisors (62330085039).

85080400209 is a wasteful number, since it uses less digits than its factorization.

85080400209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 85080400209 in words is "eighty-five billion, eighty million, four hundred thousand, two hundred nine".