127505026000000 has 448 divisors, whose sum is σ = 349813766076480. Its totient is φ = 45905600000000.

The previous prime is 127505025999983. The next prime is 127505026000021. The reversal of 127505026000000 is 620505721.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2221971309 + ... + 2222028691.

Almost surely, 2^{127505026000000} is an apocalyptic number.

127505026000000 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 127505026000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174906883038240).

127505026000000 is an abundant number, since it is smaller than the sum of its proper divisors (222308740076480).

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

127505026000000 is an frugal number, since it uses more digits than its factorization.

127505026000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57539 (or 57502 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

Adding to 127505026000000 its reverse (620505721), we get a palindrome (127505646505721).

The spelling of 127505026000000 in words is "one hundred twenty-seven trillion, five hundred five billion, twenty-six million", and thus it is an aban number.