127165881283056 has 160 divisors (see below), whose sum is σ = 455081364595200. Its totient is φ = 33030099025920.

The previous prime is 127165881283039. The next prime is 127165881283069. The reversal of 127165881283056 is 650382188561721.

It is a happy number.

127165881283056 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 6 + 588 + 12 + 8 + 30 + 5 + 6 = 666.

It is a super-2 number, since 2×127165881283056² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 127165881282984 and 127165881283002.

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, 1911430801 + ... + 1911497328.

It is an arithmetic number, because the mean of its divisors is an integer number (2844258528720).

Almost surely, 2^{127165881283056} is an apocalyptic number.

127165881283056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

127165881283056 is an abundant number, since it is smaller than the sum of its proper divisors (327915483312144).

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

127165881283056 is a wasteful number, since it uses less digits than its factorization.

127165881283056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822928164 (or 3822928152 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 127165881283056 in words is "one hundred twenty-seven trillion, one hundred sixty-five billion, eight hundred eighty-one million, two hundred eighty-three thousand, fifty-six".