11919488256 has 504 divisors, whose sum is σ = 40816860840. Its totient is φ = 3451797504.

The previous prime is 11919488233. The next prime is 11919488257. The reversal of 11919488256 is 65288491911.

It can be written as a sum of positive squares in 4 ways, for example, as 717382656 + 11202105600 = 26784^2 + 105840^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11919488257) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 701146360 + ... + 701146376.

It is an arithmetic number, because the mean of its divisors is an integer number (80985835).

Almost surely, 2^11919488256 is an apocalyptic number.

11919488256 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 11919488256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20408430420).

11919488256 is an abundant number, since it is smaller than the sum of its proper divisors (28897372584).

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

11919488256 is an frugal number, since it uses more digits than its factorization.

11919488256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 35 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The spelling of 11919488256 in words is "eleven billion, nine hundred nineteen million, four hundred eighty-eight thousand, two hundred fifty-six".