127864135717320 has 256 divisors, whose sum is σ = 393440418201600. Its totient is φ = 33223836784640.

The previous prime is 127864135717301. The next prime is 127864135717399. The reversal of 127864135717320 is 23717531468721.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16146496321 + ... + 16146504239.

It is an arithmetic number, because the mean of its divisors is an integer number (1536876633600).

Almost surely, 2^{127864135717320} is an apocalyptic number.

127864135717320 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 127864135717320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196720209100800).

127864135717320 is an abundant number, since it is smaller than the sum of its proper divisors (265576282484280).

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

127864135717320 is a wasteful number, since it uses less digits than its factorization.

127864135717320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11668 (or 11664 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 127864135717320 in words is "one hundred twenty-seven trillion, eight hundred sixty-four billion, one hundred thirty-five million, seven hundred seventeen thousand, three hundred twenty".