127585370848 has 96 divisors (see below), whose sum is σ = 272074209120. Its totient is φ = 58545192960.

The previous prime is 127585370837. The next prime is 127585370903. The reversal of 127585370848 is 848073585721.

It is a junction number, because it is equal to n+sod(n) for n = 127585370792 and 127585370801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59038888 + ... + 59041048.

It is an arithmetic number, because the mean of its divisors is an integer number (2834106345).

Almost surely, 2^127585370848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127585370848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136037104560).

127585370848 is an abundant number, since it is smaller than the sum of its proper divisors (144488838272).

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

127585370848 is a wasteful number, since it uses less digits than its factorization.

127585370848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 58.

The spelling of 127585370848 in words is "one hundred twenty-seven billion, five hundred eighty-five million, three hundred seventy thousand, eight hundred forty-eight".