11629685760 has 352 divisors, whose sum is σ = 46379976192. Its totient is φ = 2416312320.

The previous prime is 11629685759. The next prime is 11629685773. The reversal of 11629685760 is 6758692611.

It is a tau number, because it is divible by the number of its divisors (352).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1177804 + ... + 1187636.

It is an arithmetic number, because the mean of its divisors is an integer number (131761296).

Almost surely, 2^11629685760 is an apocalyptic number.

11629685760 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 11629685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23189988096).

11629685760 is an abundant number, since it is smaller than the sum of its proper divisors (34750290432).

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

11629685760 is a wasteful number, since it uses less digits than its factorization.

11629685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9879 (or 9861 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 11629685760 in words is "eleven billion, six hundred twenty-nine million, six hundred eighty-five thousand, seven hundred sixty".