127151213280 has 1152 divisors, whose sum is σ = 541511308800. Its totient is φ = 24775704576.

The previous prime is 127151213243. The next prime is 127151213281. The reversal of 127151213280 is 82312151721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127151213281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 249805666 + ... + 249806174.

It is an arithmetic number, because the mean of its divisors is an integer number (470061900).

Almost surely, 2^127151213280 is an apocalyptic number.

127151213280 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 127151213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270755654400).

127151213280 is an abundant number, since it is smaller than the sum of its proper divisors (414360095520).

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

127151213280 is a wasteful number, since it uses less digits than its factorization.

127151213280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 127151213280 in words is "one hundred twenty-seven billion, one hundred fifty-one million, two hundred thirteen thousand, two hundred eighty".