127352316410721 has 24 divisors (see below), whose sum is σ = 185083303392000. Its totient is φ = 84380033378016.

The previous prime is 127352316410707. The next prime is 127352316410729. The reversal of 127352316410721 is 127014613253721.

127352316410721 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 523 + 16 + 4 + 107 + 2 + 1 = 666.

It is not a de Polignac number, because 127352316410721 - 2³¹ = 127350168927073 is a prime.

It is a super-3 number, since 3×127352316410721³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (127352316410729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264918640 + ... + 265398926.

It is an arithmetic number, because the mean of its divisors is an integer number (7711804308000).

Almost surely, 2^{127352316410721} is an apocalyptic number.

It is an amenable number.

127352316410721 is a deficient number, since it is larger than the sum of its proper divisors (57730986981279).

127352316410721 is a wasteful number, since it uses less digits than its factorization.

127352316410721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661205 (or 661202 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 127352316410721 in words is "one hundred twenty-seven trillion, three hundred fifty-two billion, three hundred sixteen million, four hundred ten thousand, seven hundred twenty-one".