127697955323904 has 513 divisors, whose sum is σ = 429542505358551. Its totient is φ = 36450415411200.

The previous prime is 127697955323819. The next prime is 127697955323951. The reversal of 127697955323904 is 409323559796721.

The square root of 127697955323904 is 11300352.

It is a perfect power (a square), and thus also a powerful number.

127697955323904 is a `hidden beast` number, since 1 + 2 + 7 + 69 + 7 + 9 + 553 + 2 + 3 + 9 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 121501384179 + ... + 121501385229.

Almost surely, 2^{127697955323904} is an apocalyptic number.

127697955323904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

127697955323904 is the 11300352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127697955323904

127697955323904 is an abundant number, since it is smaller than the sum of its proper divisors (301844550034647).

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

127697955323904 is an frugal number, since it uses more digits than its factorization.

127697955323904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 771573600, while the sum is 72.

The spelling of 127697955323904 in words is "one hundred twenty-seven trillion, six hundred ninety-seven billion, nine hundred fifty-five million, three hundred twenty-three thousand, nine hundred four".