12503861760 has 640 divisors, whose sum is σ = 46774506240. Its totient is φ = 2821718016.

The previous prime is 12503861723. The next prime is 12503861761. The reversal of 12503861760 is 6716830521.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12503861761) 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 63 ways as a sum of consecutive naturals, for example, 89955771 + ... + 89955909.

It is an arithmetic number, because the mean of its divisors is an integer number (73085166).

Almost surely, 2^12503861760 is an apocalyptic number.

12503861760 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 12503861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23387253120).

12503861760 is an abundant number, since it is smaller than the sum of its proper divisors (34270644480).

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

12503861760 is a wasteful number, since it uses less digits than its factorization.

12503861760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 12503861760 in words is "twelve billion, five hundred three million, eight hundred sixty-one thousand, seven hundred sixty".