10505534514048 has 576 divisors, whose sum is σ = 36765666681120. Its totient is φ = 2865579171840.

The previous prime is 10505534514047. The next prime is 10505534514053. The reversal of 10505534514048 is 84041543550501.

10505534514048 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 553 + 4 + 51 + 4 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10505534514048² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10505534513994 and 10505534514012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505534514047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 702374986 + ... + 702389942.

Almost surely, 2^{10505534514048} is an apocalyptic number.

10505534514048 is a gapful number since it is divisible by the number (18) 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 10505534514048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18382833340560).

10505534514048 is an abundant number, since it is smaller than the sum of its proper divisors (26260132167072).

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

10505534514048 is a wasteful number, since it uses less digits than its factorization.

10505534514048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15555 (or 15533 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 10505534514048 in words is "ten trillion, five hundred five billion, five hundred thirty-four million, five hundred fourteen thousand, forty-eight".