10005610056 has 64 divisors (see below), whose sum is σ = 27006369600. Its totient is φ = 3070856448.

The previous prime is 10005610051. The next prime is 10005610099. The reversal of 10005610056 is 65001650001.

It is a super-2 number, since 2×10005610056² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10005610051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83475 + ... + 164253.

It is an arithmetic number, because the mean of its divisors is an integer number (421974525).

Almost surely, 2^10005610056 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 10005610056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13503184800).

10005610056 is an abundant number, since it is smaller than the sum of its proper divisors (17000759544).

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

10005610056 is a wasteful number, since it uses less digits than its factorization.

10005610056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81198 (or 81194 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 10005610056 in words is "ten billion, five million, six hundred ten thousand, fifty-six".