10511105605056 has 84 divisors (see below), whose sum is σ = 34432213017072. Its totient is φ = 3003173028864.

The previous prime is 10511105604893. The next prime is 10511105605057. The reversal of 10511105605056 is 65050650111501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×10511105605056² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10511105605056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10511105605057) 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, 1303456485 + ... + 1303464548.

Almost surely, 2^{10511105605056} is an apocalyptic number.

10511105605056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10511105605056 is an abundant number, since it is smaller than the sum of its proper divisors (23921107412016).

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

10511105605056 is a wasteful number, since it uses less digits than its factorization.

10511105605056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606921058 (or 2606921045 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

Adding to 10511105605056 its reverse (65050650111501), we get a palindrome (75561755716557).

The spelling of 10511105605056 in words is "ten trillion, five hundred eleven billion, one hundred five million, six hundred five thousand, fifty-six".