99321393600 has 1008 divisors, whose sum is σ = 418914437760. Its totient is φ = 22002278400.

The previous prime is 99321393581. The next prime is 99321393601. The reversal of 99321393600 is 639312399.

99321393600 is a `hidden beast` number, since 9 + 9 + 3 + 2 + 1 + 39 + 3 + 600 = 666.

It is a super-2 number, since 2×99321393600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99321393601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 286228627 + ... + 286228973.

It is an arithmetic number, because the mean of its divisors is an integer number (415589720).

Almost surely, 2^99321393600 is an apocalyptic number.

99321393600 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 99321393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209457218880).

99321393600 is an abundant number, since it is smaller than the sum of its proper divisors (319593044160).

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

99321393600 is a wasteful number, since it uses less digits than its factorization.

99321393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The spelling of 99321393600 in words is "ninety-nine billion, three hundred twenty-one million, three hundred ninety-three thousand, six hundred".