99727052644800 has 2016 divisors, whose sum is σ = 446588379514368. Its totient is φ = 21367860756480.

The previous prime is 99727052644781. The next prime is 99727052644819. The reversal of 99727052644800 is 844625072799.

99727052644800 is a `hidden beast` number, since 9 + 9 + 7 + 27 + 0 + 526 + 4 + 4 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99727052644781) and next prime (99727052644819).

It is a tau number, because it is divible by the number of its divisors (2016).

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

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 287 ways as a sum of consecutive naturals, for example, 11890666207 + ... + 11890674593.

It is an arithmetic number, because the mean of its divisors is an integer number (221522013648).

Almost surely, 2^{99727052644800} is an apocalyptic number.

99727052644800 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 99727052644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223294189757184).

99727052644800 is an abundant number, since it is smaller than the sum of its proper divisors (346861326869568).

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

99727052644800 is a wasteful number, since it uses less digits than its factorization.

99727052644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8705 (or 8678 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 99727052644800 in words is "ninety-nine trillion, seven hundred twenty-seven billion, fifty-two million, six hundred forty-four thousand, eight hundred".