10556644644 has 288 divisors, whose sum is σ = 35693199360. Its totient is φ = 2552083200.

The previous prime is 10556644639. The next prime is 10556644669. The reversal of 10556644644 is 44644665501.

10556644644 is a `hidden beast` number, since 1 + 0 + 5 + 566 + 4 + 46 + 44 = 666.

10556644644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10556644644² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10556644644.

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 95 ways as a sum of consecutive naturals, for example, 1926829 + ... + 1932299.

It is an arithmetic number, because the mean of its divisors is an integer number (123934720).

Almost surely, 2^10556644644 is an apocalyptic number.

10556644644 is a gapful number since it is divisible by the number (14) 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 10556644644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17846599680).

10556644644 is an abundant number, since it is smaller than the sum of its proper divisors (25136554716).

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

10556644644 is a wasteful number, since it uses less digits than its factorization.

10556644644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5551 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 10556644644 in words is "ten billion, five hundred fifty-six million, six hundred forty-four thousand, six hundred forty-four".