10065863808 has 1152 divisors, whose sum is σ = 41902660800. Its totient is φ = 2275983360.

The previous prime is 10065863807. The next prime is 10065863809. The reversal of 10065863808 is 80836856001.

10065863808 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 5 + 8 + 638 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10065863807) and next prime (10065863809).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10065863808² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10065863807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 234089835 + ... + 234089877.

Almost surely, 2^10065863808 is an apocalyptic number.

10065863808 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 10065863808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20951330400).

10065863808 is an abundant number, since it is smaller than the sum of its proper divisors (31836796992).

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

10065863808 is a wasteful number, since it uses less digits than its factorization.

10065863808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10065863808 in words is "ten billion, sixty-five million, eight hundred sixty-three thousand, eight hundred eight".