98591480400 has 240 divisors, whose sum is σ = 366024572928. Its totient is φ = 22217664000.

The previous prime is 98591480389. The next prime is 98591480437. The reversal of 98591480400 is 408419589.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 98591480400.

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, 513745 + ... + 679055.

Almost surely, 2^98591480400 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 98591480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183012286464).

98591480400 is an abundant number, since it is smaller than the sum of its proper divisors (267433092528).

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

98591480400 is a wasteful number, since it uses less digits than its factorization.

98591480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165410 (or 165399 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

Adding to 98591480400 its reverse (408419589), we get a palindrome (98999899989).

The spelling of 98591480400 in words is "ninety-eight billion, five hundred ninety-one million, four hundred eighty thousand, four hundred".