99985189920 has 1152 divisors, whose sum is σ = 428906741760. Its totient is φ = 19291668480.

The previous prime is 99985189879. The next prime is 99985189921. The reversal of 99985189920 is 2998158999.

It is a happy number.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (99985189921) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 558576391 + ... + 558576569.

It is an arithmetic number, because the mean of its divisors is an integer number (372314880).

Almost surely, 2^99985189920 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 99985189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214453370880).

99985189920 is an abundant number, since it is smaller than the sum of its proper divisors (328921551840).

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

99985189920 is a wasteful number, since it uses less digits than its factorization.

99985189920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 69.

The spelling of 99985189920 in words is "ninety-nine billion, nine hundred eighty-five million, one hundred eighty-nine thousand, nine hundred twenty".