127093988352 has 88 divisors (see below), whose sum is σ = 340042006656. Its totient is φ = 42203312128.

The previous prime is 127093988341. The next prime is 127093988369. The reversal of 127093988352 is 253889390721.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 127093988292 and 127093988301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 729283 + ... + 886589.

It is an arithmetic number, because the mean of its divisors is an integer number (3864113712).

Almost surely, 2^127093988352 is an apocalyptic number.

127093988352 is a gapful number since it is divisible by the number (12) 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 127093988352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170021003328).

127093988352 is an abundant number, since it is smaller than the sum of its proper divisors (212948018304).

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

127093988352 is a wasteful number, since it uses less digits than its factorization.

127093988352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157593 (or 157575 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 127093988352 in words is "one hundred twenty-seven billion, ninety-three million, nine hundred eighty-eight thousand, three hundred fifty-two".