99729855160320 has 896 divisors, whose sum is σ = 418799682754560. Its totient is φ = 19632362618880.

The previous prime is 99729855160291. The next prime is 99729855160457. The reversal of 99729855160320 is 2306155892799.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (66).

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 63 ways as a sum of consecutive naturals, for example, 179496064 + ... + 180050816.

Almost surely, 2^{99729855160320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99729855160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209399841377280).

99729855160320 is an abundant number, since it is smaller than the sum of its proper divisors (319069827594240).

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

99729855160320 is a wasteful number, since it uses less digits than its factorization.

99729855160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554824 (or 554800 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 66.

The spelling of 99729855160320 in words is "ninety-nine trillion, seven hundred twenty-nine billion, eight hundred fifty-five million, one hundred sixty thousand, three hundred twenty".