12562652800 has 48 divisors (see below), whose sum is σ = 31033686150. Its totient is φ = 5025059840.

The previous prime is 12562652761. The next prime is 12562652813. The reversal of 12562652800 is 825626521.

12562652800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10556329536 + 2006323264 = 102744^2 + 44792^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12562652800.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1959715 + ... + 1966114.

Almost surely, 2^12562652800 is an apocalyptic number.

12562652800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12562652800 is an abundant number, since it is smaller than the sum of its proper divisors (18471033350).

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

12562652800 is an equidigital number, since it uses as much as digits as its factorization.

12562652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925853 (or 3925836 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 12562652800 in words is "twelve billion, five hundred sixty-two million, six hundred fifty-two thousand, eight hundred".