98379417600 has 864 divisors, whose sum is σ = 372621150720. Its totient is φ = 24772608000.

The previous prime is 98379417589. The next prime is 98379417607. The reversal of 98379417600 is 671497389.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (98379417607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1014220752 + ... + 1014220848.

It is an arithmetic number, because the mean of its divisors is an integer number (431274480).

Almost surely, 2^98379417600 is an apocalyptic number.

98379417600 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 98379417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186310575360).

98379417600 is an abundant number, since it is smaller than the sum of its proper divisors (274241733120).

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

98379417600 is a wasteful number, since it uses less digits than its factorization.

98379417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 98379417600 in words is "ninety-eight billion, three hundred seventy-nine million, four hundred seventeen thousand, six hundred".