12563527680 has 864 divisors, whose sum is σ = 52227367920. Its totient is φ = 2866544640.

The previous prime is 12563527679. The next prime is 12563527723. The reversal of 12563527680 is 8672536521.

12563527680 is a `hidden beast` number, since 1 + 2 + 5 + 63 + 527 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×12563527680² (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 739031032 + ... + 739031048.

Almost surely, 2^12563527680 is an apocalyptic number.

12563527680 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 12563527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26113683960).

12563527680 is an abundant number, since it is smaller than the sum of its proper divisors (39663840240).

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

12563527680 is an frugal number, since it uses more digits than its factorization.

12563527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 12563527680 in words is "twelve billion, five hundred sixty-three million, five hundred twenty-seven thousand, six hundred eighty".