127357571397168 has 80 divisors (see below), whose sum is σ = 417786742159360. Its totient is φ = 36387877541184.

The previous prime is 127357571397109. The next prime is 127357571397179. The reversal of 127357571397168 is 861793175753721.

127357571397168 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 5 + 7 + 5 + 71 + 397 + 168 = 666.

It is a super-3 number, since 3×127357571397168³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 127357571397096 and 127357571397105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21057796480 + ... + 21057802527.

It is an arithmetic number, because the mean of its divisors is an integer number (5222334276992).

Almost surely, 2^{127357571397168} is an apocalyptic number.

127357571397168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

127357571397168 is an abundant number, since it is smaller than the sum of its proper divisors (290429170762192).

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

127357571397168 is a wasteful number, since it uses less digits than its factorization.

127357571397168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42115599031 (or 42115599019 counting only the distinct ones).

The product of its digits is 466754400, while the sum is 72.

The spelling of 127357571397168 in words is "one hundred twenty-seven trillion, three hundred fifty-seven billion, five hundred seventy-one million, three hundred ninety-seven thousand, one hundred sixty-eight".