10158317568 has 336 divisors, whose sum is σ = 34826326080. Its totient is φ = 2902376448.

The previous prime is 10158317539. The next prime is 10158317591. The reversal of 10158317568 is 86571385101.

10158317568 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 83 + 1 + 7 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1451188221 + ... + 1451188227.

It is an arithmetic number, because the mean of its divisors is an integer number (103649780).

Almost surely, 2^10158317568 is an apocalyptic number.

10158317568 is a gapful number since it is divisible by the number (18) 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 10158317568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17413163040).

10158317568 is an abundant number, since it is smaller than the sum of its proper divisors (24668008512).

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

10158317568 is an frugal number, since it uses more digits than its factorization.

10158317568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 10158317568 in words is "ten billion, one hundred fifty-eight million, three hundred seventeen thousand, five hundred sixty-eight".