99917607834 has 240 divisors, whose sum is σ = 251854162560. Its totient is φ = 29578348800.

The previous prime is 99917607827. The next prime is 99917607841. The reversal of 99917607834 is 43870671999.

99917607834 is a `hidden beast` number, since 9 + 9 + 9 + 17 + 607 + 8 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (99917607827) and next prime (99917607841).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 174986769 + ... + 174987339.

It is an arithmetic number, because the mean of its divisors is an integer number (1049392344).

Almost surely, 2^99917607834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99917607834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125927081280).

99917607834 is an abundant number, since it is smaller than the sum of its proper divisors (151936554726).

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

99917607834 is a wasteful number, since it uses less digits than its factorization.

99917607834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 99917607834 in words is "ninety-nine billion, nine hundred seventeen million, six hundred seven thousand, eight hundred thirty-four".