99666992332800 has 1536 divisors, whose sum is σ = 381108443212800. Its totient is φ = 25508708352000.

The previous prime is 99666992332783. The next prime is 99666992332867. The reversal of 99666992332800 is 823329966699.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93936844270 + ... + 93936845330.

It is an arithmetic number, because the mean of its divisors is an integer number (248117476050).

Almost surely, 2^{99666992332800} is an apocalyptic number.

99666992332800 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 99666992332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190554221606400).

99666992332800 is an abundant number, since it is smaller than the sum of its proper divisors (281441450880000).

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

99666992332800 is a wasteful number, since it uses less digits than its factorization.

99666992332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 408146688, while the sum is 72.

The spelling of 99666992332800 in words is "ninety-nine trillion, six hundred sixty-six billion, nine hundred ninety-two million, three hundred thirty-two thousand, eight hundred".