127876275840 has 256 divisors, whose sum is σ = 435225415680. Its totient is φ = 31858692096.

The previous prime is 127876275809. The next prime is 127876275847. The reversal of 127876275840 is 48572678721.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (127876275847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1865209 + ... + 1932551.

It is an arithmetic number, because the mean of its divisors is an integer number (1700099280).

Almost surely, 2^127876275840 is an apocalyptic number.

127876275840 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 127876275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217612707840).

127876275840 is an abundant number, since it is smaller than the sum of its proper divisors (307349139840).

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

127876275840 is a wasteful number, since it uses less digits than its factorization.

127876275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67431 (or 67419 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 57.

The spelling of 127876275840 in words is "one hundred twenty-seven billion, eight hundred seventy-six million, two hundred seventy-five thousand, eight hundred forty".