98820788064768 has 5760 divisors, whose sum is σ = 428840552448000. Its totient is φ = 22256330342400.

The previous prime is 98820788064697. The next prime is 98820788064797. The reversal of 98820788064768 is 86746088702889.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1110345933268 + ... + 1110345933356.

It is an arithmetic number, because the mean of its divisors is an integer number (74451484800).

Almost surely, 2^{98820788064768} is an apocalyptic number.

98820788064768 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98820788064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214420276224000).

98820788064768 is an abundant number, since it is smaller than the sum of its proper divisors (330019764383232).

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

98820788064768 is a wasteful number, since it uses less digits than its factorization.

98820788064768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4161798144, while the sum is 81.

The spelling of 98820788064768 in words is "ninety-eight trillion, eight hundred twenty billion, seven hundred eighty-eight million, sixty-four thousand, seven hundred sixty-eight".