10349808056 has 64 divisors (see below), whose sum is σ = 22977300480. Its totient is φ = 4276851840.

The previous prime is 10349808043. The next prime is 10349808071. The reversal of 10349808056 is 65080894301.

It is a junction number, because it is equal to n+sod(n) for n = 10349807998 and 10349808016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470111 + ... + 491633.

It is an arithmetic number, because the mean of its divisors is an integer number (359020320).

Almost surely, 2^10349808056 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 10349808056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11488650240).

10349808056 is an abundant number, since it is smaller than the sum of its proper divisors (12627492424).

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

10349808056 is a wasteful number, since it uses less digits than its factorization.

10349808056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21844 (or 21840 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 10349808056 in words is "ten billion, three hundred forty-nine million, eight hundred eight thousand, fifty-six".