11332805904 has 400 divisors, whose sum is σ = 39408906240. Its totient is φ = 3075874560.

The previous prime is 11332805903. The next prime is 11332805909. The reversal of 11332805904 is 40950823311.

11332805904 is a `hidden beast` number, since 11 + 33 + 28 + 0 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11332805903) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16592347 + ... + 16593029.

Almost surely, 2^11332805904 is an apocalyptic number.

11332805904 is a gapful number since it is divisible by the number (14) 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 11332805904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19704453120).

11332805904 is an abundant number, since it is smaller than the sum of its proper divisors (28076100336).

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

11332805904 is a wasteful number, since it uses less digits than its factorization.

11332805904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11332805904 in words is "eleven billion, three hundred thirty-two million, eight hundred five thousand, nine hundred four".