98533886330880 has 6912 divisors, whose sum is σ = 509065743513600. Its totient is φ = 17688491458560.

The previous prime is 98533886330861. The next prime is 98533886330881. The reversal of 98533886330880 is 8803368833589.

98533886330880 is a `hidden beast` number, since 9 + 8 + 533 + 8 + 8 + 6 + 3 + 3 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a junction number, because it is equal to n+sod(n) for n = 98533886330799 and 98533886330808.

It is not an unprimeable number, because it can be changed into a prime (98533886330881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 550468638631 + ... + 550468638809.

It is an arithmetic number, because the mean of its divisors is an integer number (73649557800).

Almost surely, 2^{98533886330880} is an apocalyptic number.

98533886330880 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 98533886330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254532871756800).

98533886330880 is an abundant number, since it is smaller than the sum of its proper divisors (410531857182720).

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

98533886330880 is a wasteful number, since it uses less digits than its factorization.

98533886330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 98533886330880 in words is "ninety-eight trillion, five hundred thirty-three billion, eight hundred eighty-six million, three hundred thirty thousand, eight hundred eighty".