127095764700 has 144 divisors (see below), whose sum is σ = 380935306080. Its totient is φ = 32693760000.

The previous prime is 127095764693. The next prime is 127095764711. The reversal of 127095764700 is 7467590721.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 127095764700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1036650 + ... + 1152750.

It is an arithmetic number, because the mean of its divisors is an integer number (2645384070).

Almost surely, 2^127095764700 is an apocalyptic number.

127095764700 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 127095764700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190467653040).

127095764700 is an abundant number, since it is smaller than the sum of its proper divisors (253839541380).

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

127095764700 is a wasteful number, since it uses less digits than its factorization.

127095764700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116248 (or 116241 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The spelling of 127095764700 in words is "one hundred twenty-seven billion, ninety-five million, seven hundred sixty-four thousand, seven hundred".