98258783339520 has 704 divisors, whose sum is σ = 366972742160640. Its totient is φ = 24901227380736.

The previous prime is 98258783339473. The next prime is 98258783339537. The reversal of 98258783339520 is 2593338785289.

98258783339520 is a `hidden beast` number, since 9 + 8 + 2 + 587 + 8 + 3 + 3 + 39 + 5 + 2 + 0 = 666.

98258783339520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219716464 + ... + 220163216.

It is an arithmetic number, because the mean of its divisors is an integer number (521268099660).

Almost surely, 2^{98258783339520} is an apocalyptic number.

98258783339520 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 98258783339520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183486371080320).

98258783339520 is an abundant number, since it is smaller than the sum of its proper divisors (268713958821120).

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

98258783339520 is a wasteful number, since it uses less digits than its factorization.

98258783339520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446867 (or 446843 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 98258783339520 in words is "ninety-eight trillion, two hundred fifty-eight billion, seven hundred eighty-three million, three hundred thirty-nine thousand, five hundred twenty".