127812905760897 has 48 divisors (see below), whose sum is σ = 211913018853120. Its totient is φ = 72717429390336.

The previous prime is 127812905760857. The next prime is 127812905760923. The reversal of 127812905760897 is 798067509218721.

127812905760897 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 1 + 2 + 9 + 0 + 5 + 7 + 608 + 9 + 7 = 666.

It is not a de Polignac number, because 127812905760897 - 2¹⁶ = 127812905695361 is a prime.

It is a super-2 number, since 2×127812905760897² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127812905760857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216029004 + ... + 216619842.

It is an arithmetic number, because the mean of its divisors is an integer number (4414854559440).

Almost surely, 2^{127812905760897} is an apocalyptic number.

It is an amenable number.

127812905760897 is a deficient number, since it is larger than the sum of its proper divisors (84100113092223).

127812905760897 is a wasteful number, since it uses less digits than its factorization.

127812905760897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605822 (or 605819 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 72.

Adding to 127812905760897 its sum of digits (72), we get a square (127812905760969 = 11305437²).

The spelling of 127812905760897 in words is "one hundred twenty-seven trillion, eight hundred twelve billion, nine hundred five million, seven hundred sixty thousand, eight hundred ninety-seven".