11629884000 has 192 divisors, whose sum is σ = 43542600192. Its totient is φ = 2658240000.

The previous prime is 11629883989. The next prime is 11629884023. The reversal of 11629884000 is 48892611.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11629884000.

It is a congruent number.

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, 14775 + ... + 153225.

It is an arithmetic number, because the mean of its divisors is an integer number (226784376).

Almost surely, 2^11629884000 is an apocalyptic number.

11629884000 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 11629884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21771300096).

11629884000 is an abundant number, since it is smaller than the sum of its proper divisors (31912716192).

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

11629884000 is a wasteful number, since it uses less digits than its factorization.

11629884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138486 (or 138468 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 11629884000 in words is "eleven billion, six hundred twenty-nine million, eight hundred eighty-four thousand".