127172828034 has 80 divisors (see below), whose sum is σ = 325857932928. Its totient is φ = 36314137728.

The previous prime is 127172828017. The next prime is 127172828059. The reversal of 127172828034 is 430828271721.

127172828034 is a `hidden beast` number, since 1 + 271 + 72 + 8 + 280 + 34 = 666.

It is a Curzon 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 39 ways as a sum of consecutive naturals, for example, 1990474 + ... + 2053370.

Almost surely, 2^127172828034 is an apocalyptic number.

127172828034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127172828034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162928966464).

127172828034 is an abundant number, since it is smaller than the sum of its proper divisors (198685104894).

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

127172828034 is a wasteful number, since it uses less digits than its factorization.

127172828034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64701 (or 64692 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 127172828034 in words is "one hundred twenty-seven billion, one hundred seventy-two million, eight hundred twenty-eight thousand, thirty-four".