127083578983025 has 288 divisors, whose sum is σ = 198409396224000. Its totient is φ = 80618827564800.

The previous prime is 127083578983013. The next prime is 127083578983073. The reversal of 127083578983025 is 520389875380721.

It is not a de Polignac number, because 127083578983025 - 2³⁰ = 127082505241201 is a prime.

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 287 ways as a sum of consecutive naturals, for example, 23026556216 + ... + 23026561734.

Almost surely, 2^{127083578983025} is an apocalyptic number.

It is an amenable number.

127083578983025 is a deficient number, since it is larger than the sum of its proper divisors (71325817240975).

127083578983025 is a wasteful number, since it uses less digits than its factorization.

127083578983025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5694 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 68.

The spelling of 127083578983025 in words is "one hundred twenty-seven trillion, eighty-three billion, five hundred seventy-eight million, nine hundred eighty-three thousand, twenty-five".