127864135718228 has 96 divisors (see below), whose sum is σ = 283150711334400. Its totient is φ = 49162930269696.

The previous prime is 127864135718219. The next prime is 127864135718243. The reversal of 127864135718228 is 822817531468721.

It is a happy number.

It is a super-2 number, since 2×127864135718228² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7211738 + ... + 17542446.

It is an arithmetic number, because the mean of its divisors is an integer number (2949486576400).

Almost surely, 2^{127864135718228} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127864135718228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141575355667200).

127864135718228 is an abundant number, since it is smaller than the sum of its proper divisors (155286575616172).

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

127864135718228 is a wasteful number, since it uses less digits than its factorization.

127864135718228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331689 (or 10331687 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 65.

The spelling of 127864135718228 in words is "one hundred twenty-seven trillion, eight hundred sixty-four billion, one hundred thirty-five million, seven hundred eighteen thousand, two hundred twenty-eight".