8355488000 has 144 divisors (see below), whose sum is σ = 21380150064. Its totient is φ = 3251404800.

The previous prime is 8355487991. The next prime is 8355488017. The reversal of 8355488000 is 8845538.

It can be written as a sum of positive squares in 8 ways, for example, as 65536 + 8355422464 = 256^2 + 91408^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180472 + ... + 1187528.

Almost surely, 2^8355488000 is an apocalyptic number.

8355488000 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 8355488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10690075032).

8355488000 is an abundant number, since it is smaller than the sum of its proper divisors (13024662064).

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

8355488000 is an equidigital number, since it uses as much as digits as its factorization.

8355488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7125 (or 7101 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The square root of 8355488000 is about 91408.3584799552. The cubic root of 8355488000 is about 2029.1957308040.

The spelling of 8355488000 in words is "eight billion, three hundred fifty-five million, four hundred eighty-eight thousand".