11724006752370 has 128 divisors (see below), whose sum is σ = 34134236801280. Its totient is φ = 2839847178240.

The previous prime is 11724006752363. The next prime is 11724006752377. The reversal of 11724006752370 is 7325760042711.

11724006752370 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 400 + 6 + 7 + 5 + 237 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11724006752363) and next prime (11724006752377).

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 not an unprimeable number, because it can be changed into a prime (11724006752377) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1992684 + ... + 5236296.

It is an arithmetic number, because the mean of its divisors is an integer number (266673725010).

Almost surely, 2^{11724006752370} is an apocalyptic number.

11724006752370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11724006752370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17067118400640).

11724006752370 is an abundant number, since it is smaller than the sum of its proper divisors (22410230048910).

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

11724006752370 is a wasteful number, since it uses less digits than its factorization.

11724006752370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244857 (or 3244851 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 11724006752370 in words is "eleven trillion, seven hundred twenty-four billion, six million, seven hundred fifty-two thousand, three hundred seventy".