10500505055104 has 64 divisors (see below), whose sum is σ = 21835673460000. Its totient is φ = 5020329295872.

The previous prime is 10500505055101. The next prime is 10500505055129. The reversal of 10500505055104 is 40155050500501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10500505055104² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500505055101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8391352 + ... + 9561160.

Almost surely, 2^{10500505055104} 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 10500505055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10917836730000).

10500505055104 is an abundant number, since it is smaller than the sum of its proper divisors (11335168404896).

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

10500505055104 is a wasteful number, since it uses less digits than its factorization.

10500505055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172895 (or 1172883 counting only the distinct ones).

The product of its (nonzero) digits is 12500, while the sum is 31.

Adding to 10500505055104 its reverse (40155050500501), we get a palindrome (50655555555605).

The spelling of 10500505055104 in words is "ten trillion, five hundred billion, five hundred five million, fifty-five thousand, one hundred four".