98985264000 has 512 divisors, whose sum is σ = 380696509440. Its totient is φ = 22282444800.

The previous prime is 98985263999. The next prime is 98985264029. The reversal of 98985264000 is 46258989.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22509802 + ... + 22514198.

It is an arithmetic number, because the mean of its divisors is an integer number (743547870).

Almost surely, 2^98985264000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98985264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190348254720).

98985264000 is an abundant number, since it is smaller than the sum of its proper divisors (281711245440).

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

98985264000 is a wasteful number, since it uses less digits than its factorization.

98985264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4503 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 98985264000 in words is "ninety-eight billion, nine hundred eighty-five million, two hundred sixty-four thousand".