11056313403216 has 280 divisors, whose sum is σ = 33012472542720. Its totient is φ = 3582928297728.

The previous prime is 11056313403199. The next prime is 11056313403259. The reversal of 11056313403216 is 61230431365011.

11056313403216 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 6 + 31 + 3 + 403 + 216 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 569228481 + ... + 569247903.

Almost surely, 2^{11056313403216} is an apocalyptic number.

11056313403216 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 11056313403216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16506236271360).

11056313403216 is an abundant number, since it is smaller than the sum of its proper divisors (21956159139504).

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

11056313403216 is a wasteful number, since it uses less digits than its factorization.

11056313403216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20805 (or 20784 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 11056313403216 its reverse (61230431365011), we get a palindrome (72286744768227).

The spelling of 11056313403216 in words is "eleven trillion, fifty-six billion, three hundred thirteen million, four hundred three thousand, two hundred sixteen".