8101522800 has 660 divisors, whose sum is σ = 34047461200. Its totient is φ = 1851776640.

The previous prime is 8101522769. The next prime is 8101522823. The reversal of 8101522800 is 82251018.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 1157360397 + ... + 1157360403.

Almost surely, 2^8101522800 is an apocalyptic number.

8101522800 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 8101522800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17023730600).

8101522800 is an abundant number, since it is smaller than the sum of its proper divisors (25945938400).

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

8101522800 is an frugal number, since it uses more digits than its factorization.

8101522800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 8101522800 is about 90008.4596024174. The cubic root of 8101522800 is about 2008.4246957551.

Adding to 8101522800 its reverse (82251018), we get a palindrome (8183773818).

The spelling of 8101522800 in words is "eight billion, one hundred one million, five hundred twenty-two thousand, eight hundred".