98823684096000 has 1728 divisors, whose sum is σ = 388688947133760. Its totient is φ = 24770720563200.

The previous prime is 98823684095951. The next prime is 98823684096013. The reversal of 98823684096000 is 69048632889.

98823684096000 is a `hidden beast` number, since 98 + 8 + 23 + 68 + 409 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×98823684096000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127844351614 + ... + 127844352386.

It is an arithmetic number, because the mean of its divisors is an integer number (224935733295).

Almost surely, 2^{98823684096000} is an apocalyptic number.

98823684096000 is a gapful number since it is divisible by the number (90) 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 98823684096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194344473566880).

98823684096000 is an abundant number, since it is smaller than the sum of its proper divisors (289865263037760).

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

98823684096000 is an frugal number, since it uses more digits than its factorization.

98823684096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 98823684096000 in words is "ninety-eight trillion, eight hundred twenty-three billion, six hundred eighty-four million, ninety-six thousand".