99965499321600 has 1728 divisors, whose sum is σ = 403950305525760. Its totient is φ = 23989248000000.

The previous prime is 99965499321497. The next prime is 99965499321637. The reversal of 99965499321600 is 612399456999.

99965499321600 is a `hidden beast` number, since 9 + 9 + 9 + 6 + 5 + 4 + 9 + 9 + 3 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 91126252252 + ... + 91126253348.

It is an arithmetic number, because the mean of its divisors is an integer number (233767537920).

Almost surely, 2^{99965499321600} is an apocalyptic number.

99965499321600 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 99965499321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201975152762880).

99965499321600 is an abundant number, since it is smaller than the sum of its proper divisors (303984806204160).

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

99965499321600 is a wasteful number, since it uses less digits than its factorization.

99965499321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 255091680, while the sum is 72.

The spelling of 99965499321600 in words is "ninety-nine trillion, nine hundred sixty-five billion, four hundred ninety-nine million, three hundred twenty-one thousand, six hundred".