12287613539520 has 896 divisors, whose sum is σ = 50189850547200. Its totient is φ = 2821985464320.

The previous prime is 12287613539489. The next prime is 12287613539533. The reversal of 12287613539520 is 2593531678221.

12287613539520 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 7 + 61 + 3 + 53 + 9 + 520 = 666.

12287613539520 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 218468842 + ... + 218525078.

It is an arithmetic number, because the mean of its divisors is an integer number (56015458200).

Almost surely, 2^{12287613539520} is an apocalyptic number.

12287613539520 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 12287613539520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25094925273600).

12287613539520 is an abundant number, since it is smaller than the sum of its proper divisors (37902237007680).

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

12287613539520 is a wasteful number, since it uses less digits than its factorization.

12287613539520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56315 (or 56277 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 12287613539520 in words is "twelve trillion, two hundred eighty-seven billion, six hundred thirteen million, five hundred thirty-nine thousand, five hundred twenty".