99633825742752 has 480 divisors, whose sum is σ = 352549133354880. Its totient is φ = 26965227110400.

The previous prime is 99633825742729. The next prime is 99633825742753. The reversal of 99633825742752 is 25724752833699.

99633825742752 is a `hidden beast` number, since 9 + 96 + 3 + 382 + 57 + 42 + 75 + 2 = 666.

99633825742752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×99633825742752² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (99633825742753) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4294364752 + ... + 4294387952.

It is an arithmetic number, because the mean of its divisors is an integer number (734477361156).

Almost surely, 2^{99633825742752} 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 99633825742752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176274566677440).

99633825742752 is an abundant number, since it is smaller than the sum of its proper divisors (252915307612128).

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

99633825742752 is a wasteful number, since it uses less digits than its factorization.

99633825742752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35706 (or 35689 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 72.

The spelling of 99633825742752 in words is "ninety-nine trillion, six hundred thirty-three billion, eight hundred twenty-five million, seven hundred forty-two thousand, seven hundred fifty-two".