127377000000 has 294 divisors, whose sum is σ = 456405368874. Its totient is φ = 33964800000.

The previous prime is 127376999957. The next prime is 127377000007. The reversal of 127377000000 is 773721.

It can be written as a sum of positive squares in 7 ways, for example, as 126286415424 + 1090584576 = 355368^2 + 33024^2 .

It is not an unprimeable number, because it can be changed into a prime (127377000007) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 8992924 + ... + 9007076.

Almost surely, 2^127377000000 is an apocalyptic number.

127377000000 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 127377000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228202684437).

127377000000 is an abundant number, since it is smaller than the sum of its proper divisors (329028368874).

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

127377000000 is an frugal number, since it uses more digits than its factorization.

127377000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14201 (or 14163 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

Adding to 127377000000 its reverse (773721), we get a palindrome (127377773721).

The spelling of 127377000000 in words is "one hundred twenty-seven billion, three hundred seventy-seven million", and thus it is an aban number.