127712894400 has 2520 divisors, whose sum is σ = 627674335200. Its totient is φ = 25360957440.

The previous prime is 127712894399. The next prime is 127712894429. The reversal of 127712894400 is 4498217721.

127712894400 is a `hidden beast` number, since 12 + 77 + 128 + 9 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 7512523192 + ... + 7512523208.

Almost surely, 2^127712894400 is an apocalyptic number.

127712894400 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 127712894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313837167600).

127712894400 is an abundant number, since it is smaller than the sum of its proper divisors (499961440800).

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

127712894400 is a wasteful number, since it uses less digits than its factorization.

127712894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 127712894400 in words is "one hundred twenty-seven billion, seven hundred twelve million, eight hundred ninety-four thousand, four hundred".