11304766000 has 320 divisors, whose sum is σ = 31120008192. Its totient is φ = 3936000000.

The previous prime is 11304765991. The next prime is 11304766019. The reversal of 11304766000 is 66740311.

It is a self number, because there is not a number n which added to its sum of digits gives 11304766000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74865925 + ... + 74866075.

Almost surely, 2^11304766000 is an apocalyptic number.

11304766000 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 11304766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15560004096).

11304766000 is an abundant number, since it is smaller than the sum of its proper divisors (19815242192).

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

11304766000 is a wasteful number, since it uses less digits than its factorization.

11304766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 11304766000 in words is "eleven billion, three hundred four million, seven hundred sixty-six thousand".