127794872100 has 576 divisors, whose sum is σ = 459170611200. Its totient is φ = 26790912000.

The previous prime is 127794872087. The next prime is 127794872189. The reversal of 127794872100 is 1278497721.

It is a self number, because there is not a number n which added to its sum of digits gives 127794872100.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 312456696 + ... + 312457104.

It is an arithmetic number, because the mean of its divisors is an integer number (797171200).

Almost surely, 2^127794872100 is an apocalyptic number.

127794872100 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 127794872100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229585305600).

127794872100 is an abundant number, since it is smaller than the sum of its proper divisors (331375739100).

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

127794872100 is a wasteful number, since it uses less digits than its factorization.

127794872100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 48.

The spelling of 127794872100 in words is "one hundred twenty-seven billion, seven hundred ninety-four million, eight hundred seventy-two thousand, one hundred".