85083271104 has 112 divisors (see below), whose sum is σ = 242515928480. Its totient is φ = 26170490880.

The previous prime is 85083271099. The next prime is 85083271109. The reversal of 85083271104 is 40117238058.

It is an interprime number because it is at equal distance from previous prime (85083271099) and next prime (85083271109).

It is a super-2 number, since 2×85083271104² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85083271109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13897164 + ... + 13903284.

It is an arithmetic number, because the mean of its divisors is an integer number (2165320790).

Almost surely, 2^85083271104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85083271104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121257964240).

85083271104 is an abundant number, since it is smaller than the sum of its proper divisors (157432657376).

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

85083271104 is a wasteful number, since it uses less digits than its factorization.

85083271104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11718 (or 11708 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 85083271104 in words is "eighty-five billion, eighty-three million, two hundred seventy-one thousand, one hundred four".