10345565550 has 96 divisors (see below), whose sum is σ = 27517345920. Its totient is φ = 2564265600.

The previous prime is 10345565537. The next prime is 10345565557. The reversal of 10345565550 is 5556554301.

10345565550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10345565499 and 10345565508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345565557) 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 47 ways as a sum of consecutive naturals, for example, 116805 + ... + 185295.

It is an arithmetic number, because the mean of its divisors is an integer number (286639020).

Almost surely, 2^10345565550 is an apocalyptic number.

10345565550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10345565550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13758672960).

10345565550 is an abundant number, since it is smaller than the sum of its proper divisors (17171780370).

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

10345565550 is a wasteful number, since it uses less digits than its factorization.

10345565550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68578 (or 68573 counting only the distinct ones).

The product of its (nonzero) digits is 225000, while the sum is 39.

The spelling of 10345565550 in words is "ten billion, three hundred forty-five million, five hundred sixty-five thousand, five hundred fifty".