98279884684800 has 4320 divisors, whose sum is σ = 460599750014976. Its totient is φ = 19564167168000.

The previous prime is 98279884684789. The next prime is 98279884684829. The reversal of 98279884684800 is 848648897289.

98279884684800 is a `hidden beast` number, since 9 + 8 + 2 + 7 + 98 + 8 + 46 + 8 + 480 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 98279884684800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 181663372530 + ... + 181663373070.

Almost surely, 2^{98279884684800} is an apocalyptic number.

98279884684800 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 98279884684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230299875007488).

98279884684800 is an abundant number, since it is smaller than the sum of its proper divisors (362319865330176).

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

98279884684800 is a wasteful number, since it uses less digits than its factorization.

98279884684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 3567255552, while the sum is 81.

The spelling of 98279884684800 in words is "ninety-eight trillion, two hundred seventy-nine billion, eight hundred eighty-four million, six hundred eighty-four thousand, eight hundred".