127172747520 has 864 divisors, whose sum is σ = 561726127872. Its totient is φ = 26826080256.

The previous prime is 127172747459. The next prime is 127172747549. The reversal of 127172747520 is 25747271721.

127172747520 is a `hidden beast` number, since 1 + 2 + 7 + 172 + 7 + 475 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28302394 + ... + 28306886.

Almost surely, 2^127172747520 is an apocalyptic number.

127172747520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127172747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280863063936).

127172747520 is an abundant number, since it is smaller than the sum of its proper divisors (434553380352).

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

127172747520 is an equidigital number, since it uses as much as digits as its factorization.

127172747520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4549 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 384160, while the sum is 45.

The spelling of 127172747520 in words is "one hundred twenty-seven billion, one hundred seventy-two million, seven hundred forty-seven thousand, five hundred twenty".