12563330556840 has 1280 divisors, whose sum is σ = 48609599109120. Its totient is φ = 2585517096960.

The previous prime is 12563330556793. The next prime is 12563330556841. The reversal of 12563330556840 is 4865503336521.

12563330556840 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 (51).

It is not an unprimeable number, because it can be changed into a prime (12563330556841) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14728405854 + ... + 14728406706.

It is an arithmetic number, because the mean of its divisors is an integer number (37976249304).

Almost surely, 2^{12563330556840} is an apocalyptic number.

12563330556840 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 12563330556840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24304799554560).

12563330556840 is an abundant number, since it is smaller than the sum of its proper divisors (36046268552280).

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

12563330556840 is a wasteful number, since it uses less digits than its factorization.

12563330556840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 51.

The spelling of 12563330556840 in words is "twelve trillion, five hundred sixty-three billion, three hundred thirty million, five hundred fifty-six thousand, eight hundred forty".