127812905760906 has 16 divisors (see below), whose sum is σ = 284028679468800. Its totient is φ = 42604301920284.

The previous prime is 127812905760857. The next prime is 127812905760923. The reversal of 127812905760906 is 609067509218721.

127812905760906 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 12 + 9 + 0 + 5 + 7 + 609 + 0 + 6 = 666.

It is a super-2 number, since 2×127812905760906² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1183452831066 + ... + 1183452831173.

It is an arithmetic number, because the mean of its divisors is an integer number (17751792466800).

Almost surely, 2^{127812905760906} is an apocalyptic number.

127812905760906 is an abundant number, since it is smaller than the sum of its proper divisors (156215773707894).

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

127812905760906 is a wasteful number, since it uses less digits than its factorization.

127812905760906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366905662250 (or 2366905662244 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

Adding to 127812905760906 its sum of digits (63), we get a square (127812905760969 = 11305437²).

The spelling of 127812905760906 in words is "one hundred twenty-seven trillion, eight hundred twelve billion, nine hundred five million, seven hundred sixty thousand, nine hundred six".