12505973760 has 528 divisors, whose sum is σ = 50061038976. Its totient is φ = 2827616256.

The previous prime is 12505973741. The next prime is 12505973761. The reversal of 12505973760 is 6737950521.

12505973760 is a `hidden beast` number, since 1 + 2 + 50 + 597 + 3 + 7 + 6 + 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 (12505973761) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 44190579 + ... + 44190861.

Almost surely, 2^12505973760 is an apocalyptic number.

12505973760 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 12505973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25030519488).

12505973760 is an abundant number, since it is smaller than the sum of its proper divisors (37555065216).

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

12505973760 is a wasteful number, since it uses less digits than its factorization.

12505973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 12505973760 in words is "twelve billion, five hundred five million, nine hundred seventy-three thousand, seven hundred sixty".