10505611024 has 80 divisors (see below), whose sum is σ = 21696111360. Its totient is φ = 4914000000.

The previous prime is 10505611019. The next prime is 10505611037. The reversal of 10505611024 is 42011650501.

It is a happy number.

It is a super-2 number, since 2×10505611024² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10505611024.

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, 9995299 + ... + 9996349.

It is an arithmetic number, because the mean of its divisors is an integer number (271201392).

Almost surely, 2^10505611024 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 10505611024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10848055680).

10505611024 is an abundant number, since it is smaller than the sum of its proper divisors (11190500336).

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

10505611024 is a wasteful number, since it uses less digits than its factorization.

10505611024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 10505611024 in words is "ten billion, five hundred five million, six hundred eleven thousand, twenty-four".