98098872422400 has 1560 divisors, whose sum is σ = 389129961175560. Its totient is φ = 24341139947520.

The previous prime is 98098872422363. The next prime is 98098872422423. The reversal of 98098872422400 is 422427889089.

98098872422400 is a `hidden beast` number, since 9 + 8 + 0 + 98 + 87 + 2 + 422 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 62234680098816 + 35864192323584 = 7888896^2 + 5988672^2 .

It is a super-2 number, since 2×98098872422400² (a number of 29 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 12549423292 + ... + 12549431108.

Almost surely, 2^{98098872422400} is an apocalyptic number.

98098872422400 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 98098872422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194564980587780).

98098872422400 is an abundant number, since it is smaller than the sum of its proper divisors (291031088753160).

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

98098872422400 is a wasteful number, since it uses less digits than its factorization.

98098872422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7969 (or 7933 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 98098872422400 in words is "ninety-eight trillion, ninety-eight billion, eight hundred seventy-two million, four hundred twenty-two thousand, four hundred".