11829888000 has 880 divisors, whose sum is σ = 50694593664. Its totient is φ = 2687385600.

The previous prime is 11829887987. The next prime is 11829888019. The reversal of 11829888000 is 88892811.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72575919 + ... + 72576081.

Almost surely, 2^11829888000 is an apocalyptic number.

11829888000 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 11829888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25347296832).

11829888000 is an abundant number, since it is smaller than the sum of its proper divisors (38864705664).

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

11829888000 is an equidigital number, since it uses as much as digits as its factorization.

11829888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 11829888000 in words is "eleven billion, eight hundred twenty-nine million, eight hundred eighty-eight thousand".