127538281728000 has 4224 divisors, whose sum is σ = 570348614908800. Its totient is φ = 28056305664000.

The previous prime is 127538281727953. The next prime is 127538281728007. The reversal of 127538281728000 is 827182835721.

It is a happy number.

127538281728000 is a `hidden beast` number, since 1 + 2 + 7 + 538 + 2 + 81 + 7 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-2 number, since 2×127538281728000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (127538281728007) by changing a digit.

It is a polite number, since it can be written in 351 ways as a sum of consecutive naturals, for example, 2161665791971 + ... + 2161665792029.

Almost surely, 2^{127538281728000} is an apocalyptic number.

127538281728000 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 127538281728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285174307454400).

127538281728000 is an abundant number, since it is smaller than the sum of its proper divisors (442810333180800).

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

127538281728000 is an frugal number, since it uses more digits than its factorization.

127538281728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 127538281728000 in words is "one hundred twenty-seven trillion, five hundred thirty-eight billion, two hundred eighty-one million, seven hundred twenty-eight thousand".