98379812044800 has 2484 divisors, whose sum is σ = 429932281984296. Its totient is φ = 22015062835200.

The previous prime is 98379812044769. The next prime is 98379812044823. The reversal of 98379812044800 is 844021897389.

98379812044800 is a `hidden beast` number, since 9 + 8 + 3 + 79 + 81 + 2 + 0 + 4 + 480 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7567677849594 + ... + 7567677849606.

Almost surely, 2^{98379812044800} is an apocalyptic number.

98379812044800 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 98379812044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214966140992148).

98379812044800 is an abundant number, since it is smaller than the sum of its proper divisors (331552469939496).

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

98379812044800 is an frugal number, since it uses more digits than its factorization.

98379812044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 98379812044800 in words is "ninety-eight trillion, three hundred seventy-nine billion, eight hundred twelve million, forty-four thousand, eight hundred".