85184000000 has 364 divisors, whose sum is σ = 234208408344. Its totient is φ = 30976000000.

The previous prime is 85183999987. The next prime is 85184000003. The reversal of 85184000000 is 48158.

The cubic root of 85184000000 is 4400.

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

It is not an unprimeable number, because it can be changed into a prime (85184000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7743999995 + ... + 7744000005.

Almost surely, 2^85184000000 is an apocalyptic number.

85184000000 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 85184000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117104204172).

85184000000 is an abundant number, since it is smaller than the sum of its proper divisors (149024408344).

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

85184000000 is an frugal number, since it uses more digits than its factorization.

85184000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 85184000000 its reverse (48158), we get a palindrome (85184048158).

The spelling of 85184000000 in words is "eighty-five billion, one hundred eighty-four million", and thus it is an aban number.