8201088000 has 880 divisors, whose sum is σ = 35238924864. Its totient is φ = 1857945600.

The previous prime is 8201087911. The next prime is 8201088001. The reversal of 8201088000 is 8801028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8201088001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72575944 + ... + 72576056.

Almost surely, 2^8201088000 is an apocalyptic number.

8201088000 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 8201088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17619462432).

8201088000 is an abundant number, since it is smaller than the sum of its proper divisors (27037836864).

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

8201088000 is a wasteful number, since it uses less digits than its factorization.

8201088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 8201088000 is about 90559.8586571335. The cubic root of 8201088000 is about 2016.6188576270.

Adding to 8201088000 its reverse (8801028), we get a palindrome (8209889028).

The spelling of 8201088000 in words is "eight billion, two hundred one million, eighty-eight thousand".