12564625220 has 96 divisors (see below), whose sum is σ = 30433014528. Its totient is φ = 4268339712.

The previous prime is 12564625201. The next prime is 12564625237. The reversal of 12564625220 is 2252646521.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11494994 + ... + 11496086.

It is an arithmetic number, because the mean of its divisors is an integer number (317010568).

Almost surely, 2^12564625220 is an apocalyptic number.

12564625220 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 12564625220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15216507264).

12564625220 is an abundant number, since it is smaller than the sum of its proper divisors (17868389308).

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

12564625220 is a wasteful number, since it uses less digits than its factorization.

12564625220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 12564625220 in words is "twelve billion, five hundred sixty-four million, six hundred twenty-five thousand, two hundred twenty".