99968873865840 has 1280 divisors, whose sum is σ = 412296011366400. Its totient is φ = 21788857958400.

The previous prime is 99968873865803. The next prime is 99968873865857. The reversal of 99968873865840 is 4856837886999.

99968873865840 is a `hidden beast` number, since 9 + 9 + 9 + 68 + 87 + 386 + 58 + 40 = 666.

99968873865840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8838193785 + ... + 8838205095.

It is an arithmetic number, because the mean of its divisors is an integer number (322106258880).

Almost surely, 2^{99968873865840} is an apocalyptic number.

99968873865840 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 99968873865840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206148005683200).

99968873865840 is an abundant number, since it is smaller than the sum of its proper divisors (312327137500560).

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

99968873865840 is a wasteful number, since it uses less digits than its factorization.

99968873865840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11703 (or 11691 counting only the distinct ones).

The product of its (nonzero) digits is 45148078080, while the sum is 90.

The spelling of 99968873865840 in words is "ninety-nine trillion, nine hundred sixty-eight billion, eight hundred seventy-three million, eight hundred sixty-five thousand, eight hundred forty".