8585427408100 has 81 divisors (see below), whose sum is σ = 18803958919473. Its totient is φ = 3402467389440.

The previous prime is 8585427408071. The next prime is 8585427408109. The reversal of 8585427408100 is 18047245858.

The square root of 8585427408100 is 2930090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 8506753889956 + 78673518144 = 2916634^2 + 280488^2 .

It is a super-2 number, since 2×8585427408100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8585427408109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3311000404 + ... + 3311002996.

Almost surely, 2^{8585427408100} is an apocalyptic number.

8585427408100 is the 2930090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8585427408100

8585427408100 is an abundant number, since it is smaller than the sum of its proper divisors (10218531511373).

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

8585427408100 is an equidigital number, since it uses as much as digits as its factorization.

8585427408100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5426 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 52.

The spelling of 8585427408100 in words is "eight trillion, five hundred eighty-five billion, four hundred twenty-seven million, four hundred eight thousand, one hundred".