11429957952 has 504 divisors, whose sum is σ = 40410298656. Its totient is φ = 3192763392.

The previous prime is 11429957941. The next prime is 11429957953. The reversal of 11429957952 is 25975992411.

It is a happy number.

11429957952 is a `hidden beast` number, since 1 + 14 + 2 + 9 + 9 + 579 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 (11429957953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40388403 + ... + 40388685.

It is an arithmetic number, because the mean of its divisors is an integer number (80179164).

Almost surely, 2^11429957952 is an apocalyptic number.

11429957952 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 11429957952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20205149328).

11429957952 is an abundant number, since it is smaller than the sum of its proper divisors (28980340704).

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

11429957952 is an equidigital number, since it uses as much as digits as its factorization.

11429957952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 348 counting only the distinct ones).

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

The spelling of 11429957952 in words is "eleven billion, four hundred twenty-nine million, nine hundred fifty-seven thousand, nine hundred fifty-two".