12457545660 has 768 divisors, whose sum is σ = 49196851200. Its totient is φ = 2586608640.

The previous prime is 12457545649. The next prime is 12457545673. The reversal of 12457545660 is 6654575421.

12457545660 is a `hidden beast` number, since 1 + 2 + 45 + 7 + 545 + 6 + 60 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 204222030 + ... + 204222090.

It is an arithmetic number, because the mean of its divisors is an integer number (64058400).

Almost surely, 2^12457545660 is an apocalyptic number.

12457545660 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 12457545660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24598425600).

12457545660 is an abundant number, since it is smaller than the sum of its proper divisors (36739305540).

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

12457545660 is a wasteful number, since it uses less digits than its factorization.

12457545660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 12457545660 in words is "twelve billion, four hundred fifty-seven million, five hundred forty-five thousand, six hundred sixty".