98480368800 has 216 divisors, whose sum is σ = 378836377920. Its totient is φ = 23874009600.

The previous prime is 98480368799. The next prime is 98480368901. The reversal of 98480368800 is 886308489.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 542520 + ... + 700919.

It is an arithmetic number, because the mean of its divisors is an integer number (1753872120).

Almost surely, 2^98480368800 is an apocalyptic number.

98480368800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

98480368800 is an abundant number, since it is smaller than the sum of its proper divisors (280356009120).

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

98480368800 is a wasteful number, since it uses less digits than its factorization.

98480368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243476 (or 1243460 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 98480368800 in words is "ninety-eight billion, four hundred eighty million, three hundred sixty-eight thousand, eight hundred".