85858714880 has 144 divisors (see below), whose sum is σ = 218872296720. Its totient is φ = 32157597696.

The previous prime is 85858714817. The next prime is 85858714883. The reversal of 85858714880 is 8841785858.

It can be written as a sum of positive squares in 8 ways, for example, as 6262506496 + 79596208384 = 79136^2 + 282128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85858714883) 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, 4276706 + ... + 4296734.

It is an arithmetic number, because the mean of its divisors is an integer number (1519946505).

Almost surely, 2^85858714880 is an apocalyptic number.

85858714880 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 85858714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109436148360).

85858714880 is an abundant number, since it is smaller than the sum of its proper divisors (133013581840).

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

85858714880 is a wasteful number, since it uses less digits than its factorization.

85858714880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20264 (or 20250 counting only the distinct ones).

The product of its (nonzero) digits is 22937600, while the sum is 62.

The spelling of 85858714880 in words is "eighty-five billion, eight hundred fifty-eight million, seven hundred fourteen thousand, eight hundred eighty".