85885390260 has 288 divisors, whose sum is σ = 295296648192. Its totient is φ = 20859586560.

The previous prime is 85885390259. The next prime is 85885390267. The reversal of 85885390260 is 6209358858.

85885390260 is a `hidden beast` number, since 8 + 5 + 88 + 539 + 0 + 26 + 0 = 666.

It is a super-2 number, since 2×85885390260² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 85885390197 and 85885390206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85885390267) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2544454 + ... + 2577986.

It is an arithmetic number, because the mean of its divisors is an integer number (1025335584).

Almost surely, 2^85885390260 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 85885390260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147648324096).

85885390260 is an abundant number, since it is smaller than the sum of its proper divisors (209411257932).

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

85885390260 is a wasteful number, since it uses less digits than its factorization.

85885390260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33605 (or 33591 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 85885390260 in words is "eighty-five billion, eight hundred eighty-five million, three hundred ninety thousand, two hundred sixty".