10505348880 has 160 divisors (see below), whose sum is σ = 35276242176. Its totient is φ = 2570852352.

The previous prime is 10505348873. The next prime is 10505348921. The reversal of 10505348880 is 8884350501.

It is a super-2 number, since 2×10505348880² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530029 + ... + 549491.

Almost surely, 2^10505348880 is an apocalyptic number.

10505348880 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 10505348880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17638121088).

10505348880 is an abundant number, since it is smaller than the sum of its proper divisors (24770893296).

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

10505348880 is a wasteful number, since it uses less digits than its factorization.

10505348880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19665 (or 19659 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 10505348880 in words is "ten billion, five hundred five million, three hundred forty-eight thousand, eight hundred eighty".