127513713600 has 2016 divisors, whose sum is σ = 597256884224. Its totient is φ = 25082265600.

The previous prime is 127513713553. The next prime is 127513713601. The reversal of 127513713600 is 6317315721.

127513713600 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 1 + 37 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127513713601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1746763164 + ... + 1746763236.

Almost surely, 2^127513713600 is an apocalyptic number.

127513713600 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 127513713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298628442112).

127513713600 is an abundant number, since it is smaller than the sum of its proper divisors (469743170624).

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

127513713600 is a wasteful number, since it uses less digits than its factorization.

127513713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 127513713600 in words is "one hundred twenty-seven billion, five hundred thirteen million, seven hundred thirteen thousand, six hundred".