11829840000 has 320 divisors, whose sum is σ = 42845410080. Its totient is φ = 2867200000.

The previous prime is 11829839999. The next prime is 11829840013. The reversal of 11829840000 is 4892811.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×11829840000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2637760 + ... + 2642240.

Almost surely, 2^11829840000 is an apocalyptic number.

11829840000 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 11829840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21422705040).

11829840000 is an abundant number, since it is smaller than the sum of its proper divisors (31015570080).

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

11829840000 is an equidigital number, since it uses as much as digits as its factorization.

11829840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4529 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 11829840000 in words is "eleven billion, eight hundred twenty-nine million, eight hundred forty thousand".