127009387903968 has 72 divisors (see below), whose sum is σ = 361918554071256. Its totient is φ = 42250237612800.

The previous prime is 127009387903967. The next prime is 127009387903973. The reversal of 127009387903968 is 869309783900721.

127009387903968 is a `hidden beast` number, since 1 + 2 + 70 + 0 + 9 + 3 + 87 + 90 + 396 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×127009387903968² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 127009387903896 and 127009387903905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127009387903967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 448947003 + ... + 449229818.

It is an arithmetic number, because the mean of its divisors is an integer number (5026646584323).

Almost surely, 2^{127009387903968} is an apocalyptic number.

127009387903968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

127009387903968 is an abundant number, since it is smaller than the sum of its proper divisors (234909166167288).

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

127009387903968 is a wasteful number, since it uses less digits than its factorization.

127009387903968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898177328 (or 898177317 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 127009387903968 in words is "one hundred twenty-seven trillion, nine billion, three hundred eighty-seven million, nine hundred three thousand, nine hundred sixty-eight".