127281451680 has 768 divisors, whose sum is σ = 491519508480. Its totient is φ = 30688035840.

The previous prime is 127281451663. The next prime is 127281451709. The reversal of 127281451680 is 86154182721.

127281451680 is a `hidden beast` number, since 1 + 27 + 28 + 14 + 516 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2960033739 + ... + 2960033781.

It is an arithmetic number, because the mean of its divisors is an integer number (639999360).

Almost surely, 2^127281451680 is an apocalyptic number.

127281451680 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 127281451680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245759754240).

127281451680 is an abundant number, since it is smaller than the sum of its proper divisors (364238056800).

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

127281451680 is an equidigital number, since it uses as much as digits as its factorization.

127281451680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 127281451680 in words is "one hundred twenty-seven billion, two hundred eighty-one million, four hundred fifty-one thousand, six hundred eighty".