11015105630256 has 180 divisors, whose sum is σ = 38149386573168. Its totient is φ = 2905082758656.

The previous prime is 11015105630251. The next prime is 11015105630327. The reversal of 11015105630256 is 65203650151011.

11015105630256 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 5 + 10 + 5 + 630 + 2 + 5 + 6 = 666.

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 11015105630256.

It is not an unprimeable number, because it can be changed into a prime (11015105630251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32160075 + ... + 32500778.

Almost surely, 2^{11015105630256} is an apocalyptic number.

11015105630256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11015105630256 is an abundant number, since it is smaller than the sum of its proper divisors (27134280942912).

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

11015105630256 is a wasteful number, since it uses less digits than its factorization.

11015105630256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64660900 (or 64660878 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

Adding to 11015105630256 its reverse (65203650151011), we get a palindrome (76218755781267).

The spelling of 11015105630256 in words is "eleven trillion, fifteen billion, one hundred five million, six hundred thirty thousand, two hundred fifty-six".