11302004000 has 192 divisors, whose sum is σ = 31903103232. Its totient is φ = 3854592000.

The previous prime is 11302003981. The next prime is 11302004003. The reversal of 11302004000 is 40020311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11302004003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5907044 + ... + 5908956.

It is an arithmetic number, because the mean of its divisors is an integer number (166161996).

Almost surely, 2^11302004000 is an apocalyptic number.

11302004000 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 11302004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15951551616).

11302004000 is an abundant number, since it is smaller than the sum of its proper divisors (20601099232).

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

11302004000 is a wasteful number, since it uses less digits than its factorization.

11302004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 11302004000 its reverse (40020311), we get a palindrome (11342024311).

The spelling of 11302004000 in words is "eleven billion, three hundred two million, four thousand".