8900522400 has 288 divisors, whose sum is σ = 36120688128. Its totient is φ = 1849420800.

The previous prime is 8900522381. The next prime is 8900522413. The reversal of 8900522400 is 42250098.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 160719 + ... + 208881.

It is an arithmetic number, because the mean of its divisors is an integer number (125419056).

Almost surely, 2^8900522400 is an apocalyptic number.

8900522400 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 8900522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18060344064).

8900522400 is an abundant number, since it is smaller than the sum of its proper divisors (27220165728).

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

8900522400 is a wasteful number, since it uses less digits than its factorization.

8900522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48204 (or 48191 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 8900522400 is about 94342.5799944013. The cubic root of 8900522400 is about 2072.3916439406.

Adding to 8900522400 its reverse (42250098), we get a palindrome (8942772498).

The spelling of 8900522400 in words is "eight billion, nine hundred million, five hundred twenty-two thousand, four hundred".