12547768320 has 600 divisors, whose sum is σ = 47197062528. Its totient is φ = 3185049600.

The previous prime is 12547768313. The next prime is 12547768349. The reversal of 12547768320 is 2386774521.

12547768320 is a `hidden beast` number, since 1 + 2 + 547 + 7 + 6 + 83 + 20 = 666.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 205701090 + ... + 205701150.

Almost surely, 2^12547768320 is an apocalyptic number.

12547768320 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 12547768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23598531264).

12547768320 is an abundant number, since it is smaller than the sum of its proper divisors (34649294208).

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

12547768320 is an frugal number, since it uses more digits than its factorization.

12547768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 12547768320 in words is "twelve billion, five hundred forty-seven million, seven hundred sixty-eight thousand, three hundred twenty".