8900098560 has 560 divisors, whose sum is σ = 33812523360. Its totient is φ = 2239488000.

The previous prime is 8900098517. The next prime is 8900098619. The reversal of 8900098560 is 658900098.

8900098560 is a `hidden beast` number, since 89 + 0 + 0 + 0 + 9 + 8 + 560 = 666.

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

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 35458435 + ... + 35458685.

It is an arithmetic number, because the mean of its divisors is an integer number (60379506).

Almost surely, 2^8900098560 is an apocalyptic number.

8900098560 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 8900098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16906261680).

8900098560 is an abundant number, since it is smaller than the sum of its proper divisors (24912424800).

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

8900098560 is an equidigital number, since it uses as much as digits as its factorization.

8900098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 8900098560 is about 94340.3336860751. Note that the first 3 decimals coincide. The cubic root of 8900098560 is about 2072.3587478784.

The spelling of 8900098560 in words is "eight billion, nine hundred million, ninety-eight thousand, five hundred sixty".