11739152256 has 384 divisors, whose sum is σ = 36474547200. Its totient is φ = 3323953152.

The previous prime is 11739152203. The next prime is 11739152279. The reversal of 11739152256 is 65225193711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 113972301 + ... + 113972403.

It is an arithmetic number, because the mean of its divisors is an integer number (94985800).

Almost surely, 2^11739152256 is an apocalyptic number.

11739152256 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 11739152256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18237273600).

11739152256 is an abundant number, since it is smaller than the sum of its proper divisors (24735394944).

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

11739152256 is a wasteful number, since it uses less digits than its factorization.

11739152256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 217 counting only the distinct ones).

The product of its digits is 113400, while the sum is 42.

The spelling of 11739152256 in words is "eleven billion, seven hundred thirty-nine million, one hundred fifty-two thousand, two hundred fifty-six".