127663579953 has 256 divisors, whose sum is σ = 251717222400. Its totient is φ = 62078607360.

The previous prime is 127663579949. The next prime is 127663579987. The reversal of 127663579953 is 359975366721.

127663579953 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 6 + 3 + 579 + 9 + 53 = 666.

It is not a de Polignac number, because 127663579953 - 2² = 127663579949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (127663577953) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 361653025 + ... + 361653377.

It is an arithmetic number, because the mean of its divisors is an integer number (983270400).

Almost surely, 2^127663579953 is an apocalyptic number.

127663579953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

127663579953 is a deficient number, since it is larger than the sum of its proper divisors (124053642447).

127663579953 is a wasteful number, since it uses less digits than its factorization.

127663579953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 583 counting only the distinct ones).

The product of its digits is 64297800, while the sum is 63.

The spelling of 127663579953 in words is "one hundred twenty-seven billion, six hundred sixty-three million, five hundred seventy-nine thousand, nine hundred fifty-three".