98555811182400 has 1344 divisors, whose sum is σ = 396880078049280. Its totient is φ = 21069501235200.

The previous prime is 98555811182357. The next prime is 98555811182461. The reversal of 98555811182400 is 428111855589.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14508433404 + ... + 14508440196.

It is an arithmetic number, because the mean of its divisors is an integer number (295297677120).

Almost surely, 2^{98555811182400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98555811182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198440039024640).

98555811182400 is an abundant number, since it is smaller than the sum of its proper divisors (298324266866880).

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

98555811182400 is a wasteful number, since it uses less digits than its factorization.

98555811182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7784 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 57.

The spelling of 98555811182400 in words is "ninety-eight trillion, five hundred fifty-five billion, eight hundred eleven million, one hundred eighty-two thousand, four hundred".