11724363382320 has 240 divisors, whose sum is σ = 40125754367712. Its totient is φ = 3066854768640.

The previous prime is 11724363382313. The next prime is 11724363382331. The reversal of 11724363382320 is 2328336342711.

11724363382320 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 4 + 3 + 633 + 8 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194853040 + ... + 194913200.

Almost surely, 2^{11724363382320} is an apocalyptic number.

11724363382320 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 11724363382320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20062877183856).

11724363382320 is an abundant number, since it is smaller than the sum of its proper divisors (28401390985392).

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

11724363382320 is a wasteful number, since it uses less digits than its factorization.

11724363382320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65340 (or 65331 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 11724363382320 in words is "eleven trillion, seven hundred twenty-four billion, three hundred sixty-three million, three hundred eighty-two thousand, three hundred twenty".