10006553056 has 48 divisors (see below), whose sum is σ = 20883925440. Its totient is φ = 4703395840.

The previous prime is 10006553017. The next prime is 10006553059. The reversal of 10006553056 is 65035560001.

10006553056 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 2×10006553056² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006553059) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 468825 + ... + 489703.

It is an arithmetic number, because the mean of its divisors is an integer number (435081780).

Almost surely, 2^10006553056 is an apocalyptic number.

10006553056 is a gapful number since it is divisible by the number (16) 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 10006553056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10441962720).

10006553056 is an abundant number, since it is smaller than the sum of its proper divisors (10877372384).

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

10006553056 is a wasteful number, since it uses less digits than its factorization.

10006553056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21787 (or 21779 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The spelling of 10006553056 in words is "ten billion, six million, five hundred fifty-three thousand, fifty-six".