127713801600 has 1728 divisors, whose sum is σ = 597451046400. Its totient is φ = 26202009600.

The previous prime is 127713801547. The next prime is 127713801629. The reversal of 127713801600 is 6108317721.

127713801600 is a `hidden beast` number, since 1 + 277 + 1 + 380 + 1 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1616630361 + ... + 1616630439.

Almost surely, 2^127713801600 is an apocalyptic number.

127713801600 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 127713801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298725523200).

127713801600 is an abundant number, since it is smaller than the sum of its proper divisors (469737244800).

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

127713801600 is an frugal number, since it uses more digits than its factorization.

127713801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 127713801600 in words is "one hundred twenty-seven billion, seven hundred thirteen million, eight hundred one thousand, six hundred".