98394675609600 has 1260 divisors, whose sum is σ = 368148147166800. Its totient is φ = 25978680115200.

The previous prime is 98394675609563. The next prime is 98394675609623. The reversal of 98394675609600 is 690657649389.

98394675609600 is a `hidden beast` number, since 9 + 8 + 3 + 9 + 4 + 6 + 7 + 5 + 6 + 0 + 9 + 600 = 666.

It is a super-2 number, since 2×98394675609600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 316381593445 + ... + 316381593755.

It is an arithmetic number, because the mean of its divisors is an integer number (292181069180).

Almost surely, 2^{98394675609600} is an apocalyptic number.

98394675609600 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 98394675609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184074073583400).

98394675609600 is an abundant number, since it is smaller than the sum of its proper divisors (269753471557200).

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

98394675609600 is an frugal number, since it uses more digits than its factorization.

98394675609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 98394675609600 in words is "ninety-eight trillion, three hundred ninety-four billion, six hundred seventy-five million, six hundred nine thousand, six hundred".