11742820024320 has 2880 divisors, whose sum is σ = 54081114587136. Its totient is φ = 2373498961920.

The previous prime is 11742820024283. The next prime is 11742820024339. The reversal of 11742820024320 is 2342002824711.

11742820024320 is a `hidden beast` number, since 1 + 1 + 7 + 428 + 200 + 2 + 4 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

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 191 ways as a sum of consecutive naturals, for example, 72041840559 + ... + 72041840721.

Almost surely, 2^{11742820024320} is an apocalyptic number.

11742820024320 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 11742820024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27040557293568).

11742820024320 is an abundant number, since it is smaller than the sum of its proper divisors (42338294562816).

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

11742820024320 is an equidigital number, since it uses as much as digits as its factorization.

11742820024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 11742820024320 in words is "eleven trillion, seven hundred forty-two billion, eight hundred twenty million, twenty-four thousand, three hundred twenty".