89820090000 has 675 divisors, whose sum is σ = 335232454557. Its totient is φ = 23304672000.

The previous prime is 89820089927. The next prime is 89820090047. The reversal of 89820090000 is 9002898.

The square root of 89820090000 is 299700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 29822526864 + 59997563136 = 172692^2 + 244944^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2427569982 + ... + 2427570018.

Almost surely, 2^89820090000 is an apocalyptic number.

89820090000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

89820090000 is the 299700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89820090000

89820090000 is an abundant number, since it is smaller than the sum of its proper divisors (245412364557).

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

89820090000 is an frugal number, since it uses more digits than its factorization.

89820090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 89820090000 by its sum of digits (36), we get a square (3233523240000 = 1798200²).

89820090000 divided by its sum of digits (36) gives a square (2495002500 = 49950²).

Adding to 89820090000 its reverse (9002898), we get a palindrome (89829092898).

The spelling of 89820090000 in words is "eighty-nine billion, eight hundred twenty million, ninety thousand".