8087552000 has 240 divisors, whose sum is σ = 22082336640. Its totient is φ = 2932736000.

The previous prime is 8087551973. The next prime is 8087552051. The reversal of 8087552000 is 2557808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22527821 + ... + 22528179.

It is an arithmetic number, because the mean of its divisors is an integer number (92009736).

Almost surely, 2^8087552000 is an apocalyptic number.

8087552000 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 8087552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11041168320).

8087552000 is an abundant number, since it is smaller than the sum of its proper divisors (13994784640).

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

8087552000 is an equidigital number, since it uses as much as digits as its factorization.

8087552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The square root of 8087552000 is about 89930.8178546153. The cubic root of 8087552000 is about 2007.2695448448.

The spelling of 8087552000 in words is "eight billion, eighty-seven million, five hundred fifty-two thousand".