11270382336 has 288 divisors, whose sum is σ = 34598215680. Its totient is φ = 3616026624.

The previous prime is 11270382307. The next prime is 11270382353. The reversal of 11270382336 is 63328307211.

11270382336 is a `hidden beast` number, since 1 + 1 + 270 + 382 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 11270382336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32479315 + ... + 32479661.

Almost surely, 2^11270382336 is an apocalyptic number.

11270382336 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 11270382336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17299107840).

11270382336 is an abundant number, since it is smaller than the sum of its proper divisors (23327833344).

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

11270382336 is a wasteful number, since it uses less digits than its factorization.

11270382336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 11270382336 its reverse (63328307211), we get a palindrome (74598689547).

The spelling of 11270382336 in words is "eleven billion, two hundred seventy million, three hundred eighty-two thousand, three hundred thirty-six".