12525269760 has 504 divisors, whose sum is σ = 46540604544. Its totient is φ = 3224862720.

The previous prime is 12525269683. The next prime is 12525269761. The reversal of 12525269760 is 6796252521.

12525269760 is a `hidden beast` number, since 1 + 2 + 52 + 526 + 9 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12525269761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28926504 + ... + 28926936.

Almost surely, 2^12525269760 is an apocalyptic number.

12525269760 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 12525269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23270302272).

12525269760 is an abundant number, since it is smaller than the sum of its proper divisors (34015334784).

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

12525269760 is an frugal number, since it uses more digits than its factorization.

12525269760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 12525269760 in words is "twelve billion, five hundred twenty-five million, two hundred sixty-nine thousand, seven hundred sixty".