127128445920 has 288 divisors, whose sum is σ = 517595248800. Its totient is φ = 29057882112.

The previous prime is 127128445867. The next prime is 127128445931. The reversal of 127128445920 is 29544821721.

127128445920 is a `hidden beast` number, since 1 + 2 + 7 + 12 + 8 + 44 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88605 + ... + 511964.

It is an arithmetic number, because the mean of its divisors is an integer number (1797205725).

Almost surely, 2^127128445920 is an apocalyptic number.

127128445920 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 127128445920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258797624400).

127128445920 is an abundant number, since it is smaller than the sum of its proper divisors (390466802880).

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

127128445920 is a wasteful number, since it uses less digits than its factorization.

127128445920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600607 (or 600586 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 127128445920 in words is "one hundred twenty-seven billion, one hundred twenty-eight million, four hundred forty-five thousand, nine hundred twenty".