99825217268 has 72 divisors (see below), whose sum is σ = 215643600648. Its totient is φ = 40176912384.

The previous prime is 99825217237. The next prime is 99825217307. The reversal of 99825217268 is 86271252899.

It can be written as a sum of positive squares in 4 ways, for example, as 56997742564 + 42827474704 = 238742^2 + 206948^2 .

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 23 ways as a sum of consecutive naturals, for example, 1489946 + ... + 1555502.

It is an arithmetic number, because the mean of its divisors is an integer number (2995050009).

Almost surely, 2^99825217268 is an apocalyptic number.

99825217268 is a gapful number since it is divisible by the number (98) 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 99825217268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107821800324).

99825217268 is an abundant number, since it is smaller than the sum of its proper divisors (115818383380).

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

99825217268 is a wasteful number, since it uses less digits than its factorization.

With its successor (99825217269) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (66040).

99825217268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66049 (or 66040 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 59.

The spelling of 99825217268 in words is "ninety-nine billion, eight hundred twenty-five million, two hundred seventeen thousand, two hundred sixty-eight".