8998200090000 has 1575 divisors, whose sum is σ = 36261705834277. Its totient is φ = 2159784000000.

The previous prime is 8998200089993. The next prime is 8998200090013. The reversal of 8998200090000 is 900028998.

The square root of 8998200090000 is 2999700.

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 1941909138576 + 7056290951424 = 1393524^2 + 2656368^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 89091089950 + ... + 89091090050.

Almost surely, 2^{8998200090000} is an apocalyptic number.

8998200090000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8998200090000 is the 2999700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8998200090000

8998200090000 is an abundant number, since it is smaller than the sum of its proper divisors (27263505744277).

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

8998200090000 is an equidigital number, since it uses as much as digits as its factorization.

8998200090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 8998200090000 in words is "eight trillion, nine hundred ninety-eight billion, two hundred million, ninety thousand".