99695203338528 has 672 divisors, whose sum is σ = 346065722956800. Its totient is φ = 27666138705408.

The previous prime is 99695203338517. The next prime is 99695203338559. The reversal of 99695203338528 is 82583330259699.

99695203338528 is a `hidden beast` number, since 9 + 9 + 6 + 95 + 2 + 0 + 3 + 3 + 3 + 8 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 111 ways as a sum of consecutive naturals, for example, 1256849653 + ... + 1256928971.

It is an arithmetic number, because the mean of its divisors is an integer number (514978754400).

Almost surely, 2^{99695203338528} 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 99695203338528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173032861478400).

99695203338528 is an abundant number, since it is smaller than the sum of its proper divisors (246370519618272).

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

99695203338528 is a wasteful number, since it uses less digits than its factorization.

99695203338528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79576 (or 79553 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 72.

The spelling of 99695203338528 in words is "ninety-nine trillion, six hundred ninety-five billion, two hundred three million, three hundred thirty-eight thousand, five hundred twenty-eight".