11793960000 has 315 divisors, whose sum is σ = 42477725433. Its totient is φ = 3127680000.

The previous prime is 11793959971. The next prime is 11793960019. The reversal of 11793960000 is 6939711.

The square root of 11793960000 is 108600.

It is a perfect power (a square), and thus also a powerful number.

11793960000 is a `hidden beast` number, since 1 + 17 + 9 + 39 + 600 + 0 + 0 = 666.

11793960000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 11421624384 + 372335616 = 106872^2 + 19296^2 .

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

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 44 ways as a sum of consecutive naturals, for example, 65159910 + ... + 65160090.

Almost surely, 2^11793960000 is an apocalyptic number.

11793960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11793960000 is the 108600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11793960000

11793960000 is an abundant number, since it is smaller than the sum of its proper divisors (30683765433).

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

11793960000 is an frugal number, since it uses more digits than its factorization.

11793960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

Multiplying 11793960000 by its sum of digits (36), we get a square (424582560000 = 651600²).

11793960000 divided by its sum of digits (36) gives a square (327610000 = 18100²).

The spelling of 11793960000 in words is "eleven billion, seven hundred ninety-three million, nine hundred sixty thousand".