11729459952 has 240 divisors, whose sum is σ = 38100484032. Its totient is φ = 3299512320.

The previous prime is 11729459939. The next prime is 11729459957. The reversal of 11729459952 is 25995492711.

It is a happy number.

11729459952 is a `hidden beast` number, since 117 + 29 + 459 + 9 + 52 = 666.

11729459952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11729459957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21680802 + ... + 21681342.

Almost surely, 2^11729459952 is an apocalyptic number.

11729459952 is a gapful number since it is divisible by the number (12) 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 11729459952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19050242016).

11729459952 is an abundant number, since it is smaller than the sum of its proper divisors (26371024080).

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

11729459952 is a wasteful number, since it uses less digits than its factorization.

11729459952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 847 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 54.

The spelling of 11729459952 in words is "eleven billion, seven hundred twenty-nine million, four hundred fifty-nine thousand, nine hundred fifty-two".