10508395968 has 336 divisors, whose sum is σ = 36454080000. Its totient is φ = 2827229184.

The previous prime is 10508395951. The next prime is 10508395973. The reversal of 10508395968 is 86959380501.

It is a happy number.

10508395968 is a `hidden beast` number, since 10 + 5 + 0 + 8 + 39 + 596 + 8 = 666.

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

It is a super-2 number, since 2×10508395968² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17542933 + ... + 17543531.

Almost surely, 2^10508395968 is an apocalyptic number.

10508395968 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 10508395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18227040000).

10508395968 is an abundant number, since it is smaller than the sum of its proper divisors (25945684032).

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

10508395968 is a wasteful number, since it uses less digits than its factorization.

10508395968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 10508395968 in words is "ten billion, five hundred eight million, three hundred ninety-five thousand, nine hundred sixty-eight".