10010827008 has 648 divisors, whose sum is σ = 38168020800. Its totient is φ = 2494291968.

The previous prime is 10010826997. The next prime is 10010827019. The reversal of 10010827008 is 80072801001.

It is an interprime number because it is at equal distance from previous prime (10010826997) and next prime (10010827019).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27885133 + ... + 27885491.

Almost surely, 2^10010827008 is an apocalyptic number.

10010827008 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 10010827008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19084010400).

10010827008 is an abundant number, since it is smaller than the sum of its proper divisors (28157193792).

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

10010827008 is a wasteful number, since it uses less digits than its factorization.

10010827008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 10010827008 in words is "ten billion, ten million, eight hundred twenty-seven thousand, eight".