11629668960 has 1152 divisors, whose sum is σ = 53627857920. Its totient is φ = 2311151616.

The previous prime is 11629668913. The next prime is 11629668989. The reversal of 11629668960 is 6986692611.

It is a happy number.

11629668960 is a `hidden beast` number, since 1 + 1 + 629 + 6 + 6 + 8 + 9 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11629668897 and 11629668906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67223434 + ... + 67223606.

It is an arithmetic number, because the mean of its divisors is an integer number (46551960).

Almost surely, 2^11629668960 is an apocalyptic number.

11629668960 is a gapful number since it is divisible by the number (10) 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 11629668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26813928960).

11629668960 is an abundant number, since it is smaller than the sum of its proper divisors (41998188960).

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

11629668960 is a wasteful number, since it uses less digits than its factorization.

11629668960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 11629668960 in words is "eleven billion, six hundred twenty-nine million, six hundred sixty-eight thousand, nine hundred sixty".