12525936640000 has 765 divisors, whose sum is σ = 36882325195947. Its totient is φ = 4240244736000.

The previous prime is 12525936639989. The next prime is 12525936640051. The reversal of 12525936640000 is 4663952521.

The square root of 12525936640000 is 3539200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 982033432576 + 11543903207424 = 990976^2 + 3397632^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 158556159961 + ... + 158556160039.

Almost surely, 2^{12525936640000} is an apocalyptic number.

12525936640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12525936640000 is the 3539200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12525936640000

12525936640000 is an abundant number, since it is smaller than the sum of its proper divisors (24356388555947).

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

12525936640000 is an frugal number, since it uses more digits than its factorization.

12525936640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 12525936640000 in words is "twelve trillion, five hundred twenty-five billion, nine hundred thirty-six million, six hundred forty thousand".