127076052564 has 36 divisors (see below), whose sum is σ = 322081235476. Its totient is φ = 42245117568.

The previous prime is 127076052527. The next prime is 127076052617. The reversal of 127076052564 is 465250670721.

127076052564 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 7 + 60 + 525 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23147188164 + 103928864400 = 152142^2 + 322380^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×127076052564² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4718329 + ... + 4745184.

Almost surely, 2^127076052564 is an apocalyptic number.

It is an amenable number.

127076052564 is an abundant number, since it is smaller than the sum of its proper divisors (195005182912).

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

127076052564 is a wasteful number, since it uses less digits than its factorization.

127076052564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9463896 (or 9463891 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 127076052564 in words is "one hundred twenty-seven billion, seventy-six million, fifty-two thousand, five hundred sixty-four".