127379499631200 has 720 divisors, whose sum is σ = 484910805034656. Its totient is φ = 32478559027200.

The previous prime is 127379499631169. The next prime is 127379499631217. The reversal of 127379499631200 is 2136994973721.

127379499631200 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 79 + 499 + 63 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4264019464 + ... + 4264049336.

Almost surely, 2^{127379499631200} is an apocalyptic number.

127379499631200 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 127379499631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242455402517328).

127379499631200 is an abundant number, since it is smaller than the sum of its proper divisors (357531305403456).

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

127379499631200 is a wasteful number, since it uses less digits than its factorization.

127379499631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32789 (or 32767 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 127379499631200 in words is "one hundred twenty-seven trillion, three hundred seventy-nine billion, four hundred ninety-nine million, six hundred thirty-one thousand, two hundred".