8585491200 has 864 divisors, whose sum is σ = 34490292480. Its totient is φ = 1853030400.

The previous prime is 8585491171. The next prime is 8585491219. The reversal of 8585491200 is 21945858.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145516771 + ... + 145516829.

It is an arithmetic number, because the mean of its divisors is an integer number (39919320).

Almost surely, 2^8585491200 is an apocalyptic number.

8585491200 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 8585491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245146240).

8585491200 is an abundant number, since it is smaller than the sum of its proper divisors (25904801280).

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

8585491200 is a wasteful number, since it uses less digits than its factorization.

8585491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 8585491200 is about 92657.9257268368. The cubic root of 8585491200 is about 2047.6468100247.

It can be divided in two parts, 858 and 5491200, that multiplied together give a square (4711449600 = 68640²).

The spelling of 8585491200 in words is "eight billion, five hundred eighty-five million, four hundred ninety-one thousand, two hundred".