11386400256 has 640 divisors, whose sum is σ = 44311449600. Its totient is φ = 2796871680.

The previous prime is 11386400219. The next prime is 11386400269. The reversal of 11386400256 is 65200468311.

It is a happy number.

11386400256 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 640 + 0 + 2 + 5 + 6 = 666.

It is a super-2 number, since 2×11386400256² (a number of 21 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 11386400256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20224231 + ... + 20224793.

It is an arithmetic number, because the mean of its divisors is an integer number (69236640).

Almost surely, 2^11386400256 is an apocalyptic number.

11386400256 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 11386400256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22155724800).

11386400256 is an abundant number, since it is smaller than the sum of its proper divisors (32925049344).

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

11386400256 is a wasteful number, since it uses less digits than its factorization.

11386400256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 11386400256 its reverse (65200468311), we get a palindrome (76586868567).

The spelling of 11386400256 in words is "eleven billion, three hundred eighty-six million, four hundred thousand, two hundred fifty-six".