8249011200 has 198 divisors, whose sum is σ = 29536187564. Its totient is φ = 2199674880.

The previous prime is 8249011189. The next prime is 8249011229. The reversal of 8249011200 is 21109428.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 212499 + ... + 248301.

Almost surely, 2^8249011200 is an apocalyptic number.

8249011200 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 8249011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14768093782).

8249011200 is an abundant number, since it is smaller than the sum of its proper divisors (21287176364).

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

8249011200 is a wasteful number, since it uses less digits than its factorization.

8249011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35839 (or 35813 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8249011200 is about 90824.0672949632. The cubic root of 8249011200 is about 2020.5392802548.

The spelling of 8249011200 in words is "eight billion, two hundred forty-nine million, eleven thousand, two hundred".