127878480576 has 336 divisors, whose sum is σ = 462782960640. Its totient is φ = 32793845760.

The previous prime is 127878480559. The next prime is 127878480617. The reversal of 127878480576 is 675084878721.

127878480576 is a `hidden beast` number, since 1 + 2 + 7 + 87 + 8 + 480 + 5 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3485560 + ... + 3522056.

It is an arithmetic number, because the mean of its divisors is an integer number (1377330240).

Almost surely, 2^127878480576 is an apocalyptic number.

127878480576 is a gapful number since it is divisible by the number (16) 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 127878480576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231391480320).

127878480576 is an abundant number, since it is smaller than the sum of its proper divisors (334904480064).

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

127878480576 is a wasteful number, since it uses less digits than its factorization.

127878480576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36612 (or 36599 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 127878480576 in words is "one hundred twenty-seven billion, eight hundred seventy-eight million, four hundred eighty thousand, five hundred seventy-six".