127933580346 has 192 divisors, whose sum is σ = 319778357760. Its totient is φ = 33729696000.

The previous prime is 127933580293. The next prime is 127933580381. The reversal of 127933580346 is 643085339721.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44714956 + ... + 44717816.

It is an arithmetic number, because the mean of its divisors is an integer number (1665512280).

It is a 1-persistent number, because it is pandigital, but 2⋅127933580346 = 255867160692 is not.

Almost surely, 2^127933580346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127933580346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159889178880).

127933580346 is an abundant number, since it is smaller than the sum of its proper divisors (191844777414).

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

127933580346 is a wasteful number, since it uses less digits than its factorization.

127933580346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 127933580346 in words is "one hundred twenty-seven billion, nine hundred thirty-three million, five hundred eighty thousand, three hundred forty-six".