85126845440 has 528 divisors, whose sum is σ = 262197315072. Its totient is φ = 26271350784.

The previous prime is 85126845437. The next prime is 85126845469. The reversal of 85126845440 is 4454862158.

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, 140241617 + ... + 140242223.

It is an arithmetic number, because the mean of its divisors is an integer number (496585824).

Almost surely, 2^85126845440 is an apocalyptic number.

85126845440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85126845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131098657536).

85126845440 is an abundant number, since it is smaller than the sum of its proper divisors (177070469632).

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

85126845440 is a wasteful number, since it uses less digits than its factorization.

85126845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 47.

The spelling of 85126845440 in words is "eighty-five billion, one hundred twenty-six million, eight hundred forty-five thousand, four hundred forty".