89648208000 has 1280 divisors, whose sum is σ = 380873132640. Its totient is φ = 20702822400.

The previous prime is 89648207963. The next prime is 89648208077. The reversal of 89648208000 is 80284698.

It is a happy number.

89648208000 is a `hidden beast` number, since 8 + 96 + 482 + 0 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 29685911616 + 59962296384 = 172296^2 + 244872^2 .

It is a super-2 number, since 2×89648208000² (a number of 23 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 286415844 + ... + 286416156.

Almost surely, 2^89648208000 is an apocalyptic number.

89648208000 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 89648208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190436566320).

89648208000 is an abundant number, since it is smaller than the sum of its proper divisors (291224924640).

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

89648208000 is a wasteful number, since it uses less digits than its factorization.

89648208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 89648208000 in words is "eighty-nine billion, six hundred forty-eight million, two hundred eight thousand".