127813846860 has 384 divisors, whose sum is σ = 482009149440. Its totient is φ = 27448823808.

The previous prime is 127813846847. The next prime is 127813846873. The reversal of 127813846860 is 68648318721.

127813846860 is a `hidden beast` number, since 12 + 7 + 81 + 38 + 468 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (127813846847) and next prime (127813846873).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 127813846797 and 127813846806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47743842 + ... + 47746518.

It is an arithmetic number, because the mean of its divisors is an integer number (1255232160).

Almost surely, 2^127813846860 is an apocalyptic number.

127813846860 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 127813846860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241004574720).

127813846860 is an abundant number, since it is smaller than the sum of its proper divisors (354195302580).

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

127813846860 is a wasteful number, since it uses less digits than its factorization.

127813846860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 127813846860 in words is "one hundred twenty-seven billion, eight hundred thirteen million, eight hundred forty-six thousand, eight hundred sixty".