10556110560 has 192 divisors, whose sum is σ = 35380364544. Its totient is φ = 2636390400.

The previous prime is 10556110547. The next prime is 10556110571. The reversal of 10556110560 is 6501165501.

10556110560 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 2×10556110560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 1718695 + ... + 1724825.

It is an arithmetic number, because the mean of its divisors is an integer number (184272732).

Almost surely, 2^10556110560 is an apocalyptic number.

10556110560 is a gapful number since it is divisible by the number (10) 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 10556110560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690182272).

10556110560 is an abundant number, since it is smaller than the sum of its proper divisors (24824253984).

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

10556110560 is a wasteful number, since it uses less digits than its factorization.

10556110560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6377 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 10556110560 in words is "ten billion, five hundred fifty-six million, one hundred ten thousand, five hundred sixty".