85909071120 has 80 divisors (see below), whose sum is σ = 266346286080. Its totient is φ = 22906662912.

The previous prime is 85909071097. The next prime is 85909071137. The reversal of 85909071120 is 2117090958.

It is a tau number, because it is divible by the number of its divisors (80).

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, 4398336 + ... + 4417824.

It is an arithmetic number, because the mean of its divisors is an integer number (3329328576).

Almost surely, 2^85909071120 is an apocalyptic number.

85909071120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85909071120 is an abundant number, since it is smaller than the sum of its proper divisors (180437214960).

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

85909071120 is a wasteful number, since it uses less digits than its factorization.

85909071120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37872 (or 37866 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 42.

The spelling of 85909071120 in words is "eighty-five billion, nine hundred nine million, seventy-one thousand, one hundred twenty".