11830050000 has 600 divisors, whose sum is σ = 45009119232. Its totient is φ = 2993760000.

The previous prime is 11830049993. The next prime is 11830050013. The reversal of 11830050000 is 5003811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 93149937 + ... + 93150063.

Almost surely, 2^11830050000 is an apocalyptic number.

11830050000 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 11830050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22504559616).

11830050000 is an abundant number, since it is smaller than the sum of its proper divisors (33179069232).

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

11830050000 is an equidigital number, since it uses as much as digits as its factorization.

11830050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11830050000 its reverse (5003811), we get a palindrome (11835053811).

The spelling of 11830050000 in words is "eleven billion, eight hundred thirty million, fifty thousand".