99820791580248 has 256 divisors, whose sum is σ = 282006779904000. Its totient is φ = 33119305142400.

The previous prime is 99820791580219. The next prime is 99820791580253. The reversal of 99820791580248 is 84208519702899.

99820791580248 is a `hidden beast` number, since 9 + 98 + 207 + 9 + 15 + 80 + 248 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 5417084811 + ... + 5417103237.

It is an arithmetic number, because the mean of its divisors is an integer number (1101588984000).

Almost surely, 2^{99820791580248} 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 99820791580248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141003389952000).

99820791580248 is an abundant number, since it is smaller than the sum of its proper divisors (182185988323752).

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

99820791580248 is a wasteful number, since it uses less digits than its factorization.

99820791580248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19874 (or 19852 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 99820791580248 in words is "ninety-nine trillion, eight hundred twenty billion, seven hundred ninety-one million, five hundred eighty thousand, two hundred forty-eight".