85909071138 has 64 divisors (see below), whose sum is σ = 195872891904. Its totient is φ = 24864840000.

The previous prime is 85909071137. The next prime is 85909071139. The reversal of 85909071138 is 83117090958.

It is an interprime number because it is at equal distance from previous prime (85909071137) and next prime (85909071139).

It is not an unprimeable number, because it can be changed into a prime (85909071137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1007988 + ... + 1089888.

It is an arithmetic number, because the mean of its divisors is an integer number (3060513936).

Almost surely, 2^85909071138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85909071138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97936445952).

85909071138 is an abundant number, since it is smaller than the sum of its proper divisors (109963820766).

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

85909071138 is a wasteful number, since it uses less digits than its factorization.

85909071138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82631.

The product of its (nonzero) digits is 544320, while the sum is 51.

The spelling of 85909071138 in words is "eighty-five billion, nine hundred nine million, seventy-one thousand, one hundred thirty-eight".