85756271106 has 64 divisors (see below), whose sum is σ = 193439010816. Its totient is φ = 25109563200.

The previous prime is 85756271087. The next prime is 85756271131. The reversal of 85756271106 is 60117265758.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1303945 + ... + 1368131.

It is an arithmetic number, because the mean of its divisors is an integer number (3022484544).

Almost surely, 2^85756271106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85756271106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96719505408).

85756271106 is an abundant number, since it is smaller than the sum of its proper divisors (107682739710).

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

85756271106 is a wasteful number, since it uses less digits than its factorization.

85756271106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64887.

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 85756271106 in words is "eighty-five billion, seven hundred fifty-six million, two hundred seventy-one thousand, one hundred six".