10810363968 has 168 divisors, whose sum is σ = 31821558912. Its totient is φ = 3507151872.

The previous prime is 10810363909. The next prime is 10810363979. The reversal of 10810363968 is 86936301801.

It is a happy number.

10810363968 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 0 + 3 + 639 + 6 + 8 = 666.

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, 5332171 + ... + 5334197.

Almost surely, 2^10810363968 is an apocalyptic number.

10810363968 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 10810363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15910779456).

10810363968 is an abundant number, since it is smaller than the sum of its proper divisors (21011194944).

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

10810363968 is a wasteful number, since it uses less digits than its factorization.

10810363968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10810363968 in words is "ten billion, eight hundred ten million, three hundred sixty-three thousand, nine hundred sixty-eight".