99705350268 has 324 divisors, whose sum is σ = 281769900048. Its totient is φ = 29709711360.

The previous prime is 99705350263. The next prime is 99705350287. The reversal of 99705350268 is 86205350799.

99705350268 is a `hidden beast` number, since 9 + 9 + 70 + 5 + 3 + 502 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99705350263) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1365826680 + ... + 1365826752.

Almost surely, 2^99705350268 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 99705350268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140884950024).

99705350268 is an abundant number, since it is smaller than the sum of its proper divisors (182064549780).

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

99705350268 is a wasteful number, since it uses less digits than its factorization.

99705350268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 99705350268 in words is "ninety-nine billion, seven hundred five million, three hundred fifty thousand, two hundred sixty-eight".