127597000000 has 98 divisors (see below), whose sum is σ = 316498800326. Its totient is φ = 51038400000.

The previous prime is 127596999997. The next prime is 127597000007. The reversal of 127597000000 is 795721.

It can be written as a sum of positive squares in 7 ways, for example, as 108251528256 + 19345471744 = 329016^2 + 139088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127597000007) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 936202 + ... + 1063798.

Almost surely, 2^127597000000 is an apocalyptic number.

127597000000 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 127597000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158249400163).

127597000000 is an abundant number, since it is smaller than the sum of its proper divisors (188901800326).

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

127597000000 is an frugal number, since it uses more digits than its factorization.

127597000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127639 (or 127604 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 31.

Adding to 127597000000 its reverse (795721), we get a palindrome (127597795721).

The spelling of 127597000000 in words is "one hundred twenty-seven billion, five hundred ninety-seven million", and thus it is an aban number.