127008749280 has 192 divisors, whose sum is σ = 458795570688. Its totient is φ = 28931266560.

The previous prime is 127008749243. The next prime is 127008749327. The reversal of 127008749280 is 82947800721.

It is a super-2 number, since 2×127008749280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919975 + ... + 1048985.

It is an arithmetic number, because the mean of its divisors is an integer number (2389560264).

Almost surely, 2^127008749280 is an apocalyptic number.

127008749280 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 127008749280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229397785344).

127008749280 is an abundant number, since it is smaller than the sum of its proper divisors (331786821408).

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

127008749280 is a wasteful number, since it uses less digits than its factorization.

127008749280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129329 (or 129321 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 127008749280 in words is "one hundred twenty-seven billion, eight million, seven hundred forty-nine thousand, two hundred eighty".