10606000505056 has 72 divisors (see below), whose sum is σ = 22959889457400. Its totient is φ = 4819118388480.

The previous prime is 10606000505053. The next prime is 10606000505057. The reversal of 10606000505056 is 65050500060601.

It is a super-2 number, since 2×10606000505056² (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 (10606000505053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9943090 + ... + 10957966.

It is an arithmetic number, because the mean of its divisors is an integer number (318887353575).

Almost surely, 2^{10606000505056} is an apocalyptic number.

10606000505056 is a gapful number since it is divisible by the number (16) 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 10606000505056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11479944728700).

10606000505056 is an abundant number, since it is smaller than the sum of its proper divisors (12353888952344).

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

10606000505056 is a wasteful number, since it uses less digits than its factorization.

10606000505056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017608 (or 1017589 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

Adding to 10606000505056 its reverse (65050500060601), we get a palindrome (75656500565657).

The spelling of 10606000505056 in words is "ten trillion, six hundred six billion, five hundred five thousand, fifty-six".