127959364977081 has 64 divisors (see below), whose sum is σ = 192754355788800. Its totient is φ = 74836236384000.

The previous prime is 127959364977053. The next prime is 127959364977107. The reversal of 127959364977081 is 180779463959721.

It is not a de Polignac number, because 127959364977081 - 2¹⁹ = 127959364452793 is a prime.

It is a super-2 number, since 2×127959364977081² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127959364976988 and 127959364977006.

It is not an unprimeable number, because it can be changed into a prime (127959364977181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3645652270 + ... + 3645687368.

It is an arithmetic number, because the mean of its divisors is an integer number (3011786809200).

It is a 1-persistent number, because it is pandigital, but 2⋅127959364977081 = 255918729954162 is not.

Almost surely, 2^{127959364977081} is an apocalyptic number.

127959364977081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

127959364977081 is a deficient number, since it is larger than the sum of its proper divisors (64794990811719).

127959364977081 is a wasteful number, since it uses less digits than its factorization.

127959364977081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69398.

The product of its (nonzero) digits is 1440270720, while the sum is 78.

The spelling of 127959364977081 in words is "one hundred twenty-seven trillion, nine hundred fifty-nine billion, three hundred sixty-four million, nine hundred seventy-seven thousand, eighty-one".