12509648640 has 288 divisors, whose sum is σ = 46730745600. Its totient is φ = 3160166400.

The previous prime is 12509648633. The next prime is 12509648707. The reversal of 12509648640 is 4684690521.

12509648640 is a `hidden beast` number, since 1 + 2 + 509 + 64 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647115 + ... + 666165.

Almost surely, 2^12509648640 is an apocalyptic number.

12509648640 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 12509648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23365372800).

12509648640 is an abundant number, since it is smaller than the sum of its proper divisors (34221096960).

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

12509648640 is a wasteful number, since it uses less digits than its factorization.

12509648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19100 (or 19080 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12509648640 in words is "twelve billion, five hundred nine million, six hundred forty-eight thousand, six hundred forty".