127728673800 has 1536 divisors, whose sum is σ = 558684241920. Its totient is φ = 23357030400.

The previous prime is 127728673753. The next prime is 127728673819. The reversal of 127728673800 is 8376827721.

It is a happy number.

It is a super-5 number, since 5×127728673800⁵ (a number of 57 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 661806504 + ... + 661806696.

It is an arithmetic number, because the mean of its divisors is an integer number (363726720).

Almost surely, 2^127728673800 is an apocalyptic number.

127728673800 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 127728673800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279342120960).

127728673800 is an abundant number, since it is smaller than the sum of its proper divisors (430955568120).

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

127728673800 is a wasteful number, since it uses less digits than its factorization.

127728673800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The spelling of 127728673800 in words is "one hundred twenty-seven billion, seven hundred twenty-eight million, six hundred seventy-three thousand, eight hundred".