12975137280 has 600 divisors, whose sum is σ = 54102578508. Its totient is φ = 2963423232.

The previous prime is 12975137261. The next prime is 12975137291. The reversal of 12975137280 is 8273157921.

12975137280 is a `hidden beast` number, since 1 + 297 + 51 + 37 + 280 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12974121216 + 1016064 = 113904^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10160002 + ... + 10161278.

Almost surely, 2^12975137280 is an apocalyptic number.

12975137280 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 12975137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27051289254).

12975137280 is an abundant number, since it is smaller than the sum of its proper divisors (41127441228).

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

12975137280 is an equidigital number, since it uses as much as digits as its factorization.

12975137280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 12975137280 in words is "twelve billion, nine hundred seventy-five million, one hundred thirty-seven thousand, two hundred eighty".