11724853371120 has 160 divisors (see below), whose sum is σ = 40447457179200. Its totient is φ = 3121839092736.

The previous prime is 11724853371001. The next prime is 11724853371137. The reversal of 11724853371120 is 2117335842711.

11724853371120 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 48 + 533 + 71 + 1 + 2 + 0 = 666.

11724853371120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2745855 + ... + 5566814.

It is an arithmetic number, because the mean of its divisors is an integer number (252796607370).

Almost surely, 2^{11724853371120} is an apocalyptic number.

11724853371120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11724853371120 is an abundant number, since it is smaller than the sum of its proper divisors (28722603808080).

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

11724853371120 is a wasteful number, since it uses less digits than its factorization.

11724853371120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8313344 (or 8313332 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

It can be divided in two parts, 1172485 and 3371120, that added together give a triangular number (4543605 = T₃₀₁₄).

The spelling of 11724853371120 in words is "eleven trillion, seven hundred twenty-four billion, eight hundred fifty-three million, three hundred seventy-one thousand, one hundred twenty".