12506730351360 has 576 divisors, whose sum is σ = 48747127726080. Its totient is φ = 2671065169920.

The previous prime is 12506730351341. The next prime is 12506730351383. The reversal of 12506730351360 is 6315303760521.

12506730351360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23906344 + ... + 24423896.

It is an arithmetic number, because the mean of its divisors is an integer number (84630430080).

Almost surely, 2^{12506730351360} is an apocalyptic number.

12506730351360 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 12506730351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373563863040).

12506730351360 is an abundant number, since it is smaller than the sum of its proper divisors (36240397374720).

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

12506730351360 is a wasteful number, since it uses less digits than its factorization.

12506730351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517644 (or 517630 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The spelling of 12506730351360 in words is "twelve trillion, five hundred six billion, seven hundred thirty million, three hundred fifty-one thousand, three hundred sixty".