98886796800 has 960 divisors, whose sum is σ = 386669251584. Its totient is φ = 22006988800.

The previous prime is 98886796741. The next prime is 98886796837. The reversal of 98886796800 is 869768889.

98886796800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 337497454 + ... + 337497746.

Almost surely, 2^98886796800 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 98886796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193334625792).

98886796800 is an abundant number, since it is smaller than the sum of its proper divisors (287782454784).

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

98886796800 is a wasteful number, since it uses less digits than its factorization.

98886796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 69.

The spelling of 98886796800 in words is "ninety-eight billion, eight hundred eighty-six million, seven hundred ninety-six thousand, eight hundred".