127712027520 has 768 divisors, whose sum is σ = 555463733760. Its totient is φ = 26265600000.

The previous prime is 127712027477. The next prime is 127712027533. The reversal of 127712027520 is 25720217721.

It is a happy number.

127712027520 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 120 + 2 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 44794095 + ... + 44796945.

It is an arithmetic number, because the mean of its divisors is an integer number (723260070).

Almost surely, 2^127712027520 is an apocalyptic number.

127712027520 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 127712027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277731866880).

127712027520 is an abundant number, since it is smaller than the sum of its proper divisors (427751706240).

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

127712027520 is a wasteful number, since it uses less digits than its factorization.

127712027520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The spelling of 127712027520 in words is "one hundred twenty-seven billion, seven hundred twelve million, twenty-seven thousand, five hundred twenty".