127567938568084 has 144 divisors (see below), whose sum is σ = 264797819979840. Its totient is φ = 53603085312000.

The previous prime is 127567938568051. The next prime is 127567938568097. The reversal of 127567938568084 is 480865839765721.

It is a junction number, because it is equal to n+sod(n) for n = 127567938567995 and 127567938568013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4743876279 + ... + 4743903169.

It is an arithmetic number, because the mean of its divisors is an integer number (1838873749860).

It is a 1-persistent number, because it is pandigital, but 2⋅127567938568084 = 255135877136168 is not.

Almost surely, 2^{127567938568084} is an apocalyptic number.

127567938568084 is a gapful number since it is divisible by the number (14) 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 127567938568084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132398909989920).

127567938568084 is an abundant number, since it is smaller than the sum of its proper divisors (137229881411756).

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

127567938568084 is a wasteful number, since it uses less digits than its factorization.

127567938568084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28230 (or 28221 counting only the distinct ones).

The product of its (nonzero) digits is 4877107200, while the sum is 79.

The spelling of 127567938568084 in words is "one hundred twenty-seven trillion, five hundred sixty-seven billion, nine hundred thirty-eight million, five hundred sixty-eight thousand, eighty-four".