127880346880 has 432 divisors, whose sum is σ = 372359175552. Its totient is φ = 41483059200.

The previous prime is 127880346877. The next prime is 127880346917. The reversal of 127880346880 is 88643088721.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

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, 175901077 + ... + 175901803.

It is an arithmetic number, because the mean of its divisors is an integer number (861942536).

Almost surely, 2^127880346880 is an apocalyptic number.

127880346880 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 127880346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186179587776).

127880346880 is an abundant number, since it is smaller than the sum of its proper divisors (244478828672).

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

127880346880 is a wasteful number, since it uses less digits than its factorization.

127880346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 55.

The spelling of 127880346880 in words is "one hundred twenty-seven billion, eight hundred eighty million, three hundred forty-six thousand, eight hundred eighty".