10008225756 has 192 divisors, whose sum is σ = 28237708800. Its totient is φ = 3054661632.

The previous prime is 10008225749. The next prime is 10008225761. The reversal of 10008225756 is 65752280001.

It is a happy number.

10008225756 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 82 + 2 + 575 + 6 = 666.

10008225756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10008225756.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14652991 + ... + 14653673.

It is an arithmetic number, because the mean of its divisors is an integer number (147071400).

Almost surely, 2^10008225756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10008225756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14118854400).

10008225756 is an abundant number, since it is smaller than the sum of its proper divisors (18229483044).

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

10008225756 is a wasteful number, since it uses less digits than its factorization.

10008225756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 10008225756 in words is "ten billion, eight million, two hundred twenty-five thousand, seven hundred fifty-six".