11380270356 has 288 divisors, whose sum is σ = 37806612480. Its totient is φ = 2800852992.

The previous prime is 11380270331. The next prime is 11380270357. The reversal of 11380270356 is 65307208311.

11380270356 is a `hidden beast` number, since 1 + 1 + 38 + 0 + 270 + 356 = 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 11380270356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11380270357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7072080 + ... + 7073688.

It is an arithmetic number, because the mean of its divisors is an integer number (131272960).

Almost surely, 2^11380270356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11380270356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18903306240).

11380270356 is an abundant number, since it is smaller than the sum of its proper divisors (26426342124).

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

11380270356 is a wasteful number, since it uses less digits than its factorization.

11380270356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 11380270356 its reverse (65307208311), we get a palindrome (76687478667).

The spelling of 11380270356 in words is "eleven billion, three hundred eighty million, two hundred seventy thousand, three hundred fifty-six".