10505611050 has 192 divisors, whose sum is σ = 29589356160. Its totient is φ = 2443392000.

The previous prime is 10505611037. The next prime is 10505611139. The reversal of 10505611050 is 5011650501.

It is a super-2 number, since 2×10505611050² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10505611050.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8660244 + ... + 8661456.

It is an arithmetic number, because the mean of its divisors is an integer number (154111230).

Almost surely, 2^10505611050 is an apocalyptic number.

10505611050 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 10505611050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14794678080).

10505611050 is an abundant number, since it is smaller than the sum of its proper divisors (19083745110).

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

10505611050 is a wasteful number, since it uses less digits than its factorization.

10505611050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 10505611050 in words is "ten billion, five hundred five million, six hundred eleven thousand, fifty".