99864947520 has 1792 divisors, whose sum is σ = 432591667200. Its totient is φ = 21459271680.

The previous prime is 99864947519. The next prime is 99864947527. The reversal of 99864947520 is 2574946899.

99864947520 is a `hidden beast` number, since 9 + 9 + 8 + 64 + 9 + 47 + 520 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99864947527) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2322440619 + ... + 2322440661.

It is an arithmetic number, because the mean of its divisors is an integer number (241401600).

Almost surely, 2^99864947520 is an apocalyptic number.

99864947520 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 99864947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216295833600).

99864947520 is an abundant number, since it is smaller than the sum of its proper divisors (332726719680).

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

99864947520 is a wasteful number, since it uses less digits than its factorization.

99864947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 99864947520 in words is "ninety-nine billion, eight hundred sixty-four million, nine hundred forty-seven thousand, five hundred twenty".