85126010112 has 432 divisors, whose sum is σ = 296183841408. Its totient is φ = 23164600320.

The previous prime is 85126010089. The next prime is 85126010197. The reversal of 85126010112 is 21101062158.

85126010112 is a `hidden beast` number, since 8 + 51 + 2 + 601 + 0 + 1 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12186973 + ... + 12193955.

It is an arithmetic number, because the mean of its divisors is an integer number (685610744).

Almost surely, 2^85126010112 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 85126010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148091920704).

85126010112 is an abundant number, since it is smaller than the sum of its proper divisors (211057831296).

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

85126010112 is a wasteful number, since it uses less digits than its factorization.

85126010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7066 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 85126010112 in words is "eighty-five billion, one hundred twenty-six million, ten thousand, one hundred twelve".