12546257040 has 120 divisors (see below), whose sum is σ = 44613057528. Its totient is φ = 3148861440.

The previous prime is 12546257027. The next prime is 12546257047. The reversal of 12546257040 is 4075264521.

It is a happy number.

12546257040 is a `hidden beast` number, since 1 + 2 + 5 + 46 + 2 + 570 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 548121744 + 11998135296 = 23412^2 + 109536^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12546256986 and 12546257004.

It is not an unprimeable number, because it can be changed into a prime (12546257047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500271 + ... + 524750.

Almost surely, 2^12546257040 is an apocalyptic number.

12546257040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12546257040 is an abundant number, since it is smaller than the sum of its proper divisors (32066800488).

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

12546257040 is a wasteful number, since it uses less digits than its factorization.

12546257040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025057 (or 1025048 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 12546257040 in words is "twelve billion, five hundred forty-six million, two hundred fifty-seven thousand, forty".