127271933460 has 72 divisors (see below), whose sum is σ = 441209373696. Its totient is φ = 29090727360.

The previous prime is 127271933443. The next prime is 127271933461. The reversal of 127271933460 is 64339172721.

127271933460 is a `hidden beast` number, since 127 + 27 + 19 + 33 + 460 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127271933461) 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, 50503476 + ... + 50505995.

It is an arithmetic number, because the mean of its divisors is an integer number (6127907968).

Almost surely, 2^127271933460 is an apocalyptic number.

127271933460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127271933460 is an abundant number, since it is smaller than the sum of its proper divisors (313937440236).

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

127271933460 is a wasteful number, since it uses less digits than its factorization.

127271933460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101009493 (or 101009488 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 127271933460 in words is "one hundred twenty-seven billion, two hundred seventy-one million, nine hundred thirty-three thousand, four hundred sixty".