11793890304 has 616 divisors, whose sum is σ = 42169968608. Its totient is φ = 3224862720.

The previous prime is 11793890287. The next prime is 11793890321. The reversal of 11793890304 is 40309839711.

11793890304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11793890287) and next prime (11793890321).

It is a self number, because there is not a number n which added to its sum of digits gives 11793890304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 193342434 + ... + 193342494.

Almost surely, 2^11793890304 is an apocalyptic number.

11793890304 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 11793890304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21084984304).

11793890304 is an abundant number, since it is smaller than the sum of its proper divisors (30376078304).

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

11793890304 is an frugal number, since it uses more digits than its factorization.

11793890304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 11793890304 in words is "eleven billion, seven hundred ninety-three million, eight hundred ninety thousand, three hundred four".