11795573920320 has 336 divisors, whose sum is σ = 41832286728960. Its totient is φ = 3128934251520.

The previous prime is 11795573920283. The next prime is 11795573920321. The reversal of 11795573920320 is 2302937559711.

It is a happy number.

11795573920320 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 557 + 39 + 20 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11795573920321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315177129 + ... + 315214551.

It is an arithmetic number, because the mean of its divisors is an integer number (124500853360).

Almost surely, 2^{11795573920320} is an apocalyptic number.

11795573920320 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 11795573920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20916143364480).

11795573920320 is an abundant number, since it is smaller than the sum of its proper divisors (30036712808640).

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

11795573920320 is an equidigital number, since it uses as much as digits as its factorization.

11795573920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37831 (or 37624 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 11795573920320 in words is "eleven trillion, seven hundred ninety-five billion, five hundred seventy-three million, nine hundred twenty thousand, three hundred twenty".