99335294881200 has 1200 divisors, whose sum is σ = 447527279992320. Its totient is φ = 20574952611840.

The previous prime is 99335294881171. The next prime is 99335294881211. The reversal of 99335294881200 is 218849253399.

99335294881200 is a `hidden beast` number, since 9 + 9 + 3 + 3 + 5 + 29 + 488 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×99335294881200² (a number of 29 digits) contains 22 as substring.

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

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 239 ways as a sum of consecutive naturals, for example, 98610472 + ... + 99612728.

Almost surely, 2^{99335294881200} is an apocalyptic number.

99335294881200 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 99335294881200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223763639996160).

99335294881200 is an abundant number, since it is smaller than the sum of its proper divisors (348191985111120).

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

99335294881200 is a wasteful number, since it uses less digits than its factorization.

99335294881200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002336 (or 1002316 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 99335294881200 in words is "ninety-nine trillion, three hundred thirty-five billion, two hundred ninety-four million, eight hundred eighty-one thousand, two hundred".