127232794579968 has 3520 divisors, whose sum is σ = 507960969854976. Its totient is φ = 31023975628800.

The previous prime is 127232794579967. The next prime is 127232794579991. The reversal of 127232794579968 is 869975497232721.

127232794579968 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 3 + 2 + 79 + 457 + 9 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127232794579963) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1125953934280 + ... + 1125953934392.

Almost surely, 2^{127232794579968} is an apocalyptic number.

127232794579968 is a gapful number since it is divisible by the number (18) 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 127232794579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253980484927488).

127232794579968 is an abundant number, since it is smaller than the sum of its proper divisors (380728175275008).

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

127232794579968 is a wasteful number, since it uses less digits than its factorization.

127232794579968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 214 counting only the distinct ones).

The product of its digits is 5761082880, while the sum is 81.

The spelling of 127232794579968 in words is "one hundred twenty-seven trillion, two hundred thirty-two billion, seven hundred ninety-four million, five hundred seventy-nine thousand, nine hundred sixty-eight".