98589400800 has 288 divisors, whose sum is σ = 359547237504. Its totient is φ = 23254272000.

The previous prime is 98589400799. The next prime is 98589400813. The reversal of 98589400800 is 800498589.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 926335 + ... + 1027265.

It is an arithmetic number, because the mean of its divisors is an integer number (1248427908).

Almost surely, 2^98589400800 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 98589400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179773618752).

98589400800 is an abundant number, since it is smaller than the sum of its proper divisors (260957836704).

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

98589400800 is a wasteful number, since it uses less digits than its factorization.

98589400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101002 (or 100989 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 98589400800 in words is "ninety-eight billion, five hundred eighty-nine million, four hundred thousand, eight hundred".