98400984000 has 448 divisors, whose sum is σ = 363143499264. Its totient is φ = 23270400000.

The previous prime is 98400983981. The next prime is 98400984013. The reversal of 98400984000 is 48900489.

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, 10819455 + ... + 10828545.

It is an arithmetic number, because the mean of its divisors is an integer number (810588168).

Almost surely, 2^98400984000 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 98400984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181571749632).

98400984000 is an abundant number, since it is smaller than the sum of its proper divisors (264742515264).

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

98400984000 is a wasteful number, since it uses less digits than its factorization.

98400984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9173 (or 9153 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 98400984000 in words is "ninety-eight billion, four hundred million, nine hundred eighty-four thousand".