98825794230240 has 768 divisors, whose sum is σ = 432918179850240. Its totient is φ = 20455308656640.

The previous prime is 98825794230139. The next prime is 98825794230257. The reversal of 98825794230240 is 4203249752889.

98825794230240 is a `hidden beast` number, since 9 + 8 + 8 + 2 + 579 + 4 + 2 + 30 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84910474 + ... + 86066486.

It is an arithmetic number, because the mean of its divisors is an integer number (563695546680).

Almost surely, 2^{98825794230240} is an apocalyptic number.

98825794230240 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 98825794230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216459089925120).

98825794230240 is an abundant number, since it is smaller than the sum of its proper divisors (334092385620000).

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

98825794230240 is a wasteful number, since it uses less digits than its factorization.

98825794230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156312 (or 1156298 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 98825794230240 in words is "ninety-eight trillion, eight hundred twenty-five billion, seven hundred ninety-four million, two hundred thirty thousand, two hundred forty".