99865896960 has 768 divisors, whose sum is σ = 361167206400. Its totient is φ = 23434887168.

The previous prime is 99865896929. The next prime is 99865896973. The reversal of 99865896960 is 6969856899.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 577259434 + ... + 577259606.

It is an arithmetic number, because the mean of its divisors is an integer number (470269800).

Almost surely, 2^99865896960 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 99865896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180583603200).

99865896960 is an abundant number, since it is smaller than the sum of its proper divisors (261301309440).

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

99865896960 is a wasteful number, since it uses less digits than its factorization.

99865896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 75.

The spelling of 99865896960 in words is "ninety-nine billion, eight hundred sixty-five million, eight hundred ninety-six thousand, nine hundred sixty".