89985297600 has 1680 divisors, whose sum is σ = 395126138880. Its totient is φ = 19840204800.

The previous prime is 89985297541. The next prime is 89985297631. The reversal of 89985297600 is 679258998.

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 239 ways as a sum of consecutive naturals, for example, 1139054361 + ... + 1139054439.

Almost surely, 2^89985297600 is an apocalyptic number.

89985297600 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 89985297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197563069440).

89985297600 is an abundant number, since it is smaller than the sum of its proper divisors (305140841280).

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

89985297600 is a wasteful number, since it uses less digits than its factorization.

89985297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 89985297600 in words is "eighty-nine billion, nine hundred eighty-five million, two hundred ninety-seven thousand, six hundred".