127927331149696 has 256 divisors, whose sum is σ = 294292704384000. Its totient is φ = 54961662615552.

The previous prime is 127927331149643. The next prime is 127927331149697. The reversal of 127927331149696 is 696941133729721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127927331149697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151537215 + ... + 152379073.

It is an arithmetic number, because the mean of its divisors is an integer number (1149580876500).

Almost surely, 2^{127927331149696} is an apocalyptic number.

127927331149696 is a gapful number since it is divisible by the number (16) 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 127927331149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147146352192000).

127927331149696 is an abundant number, since it is smaller than the sum of its proper divisors (166365373234304).

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

127927331149696 is a wasteful number, since it uses less digits than its factorization.

127927331149696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842029 (or 842017 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 70.

The spelling of 127927331149696 in words is "one hundred twenty-seven trillion, nine hundred twenty-seven billion, three hundred thirty-one million, one hundred forty-nine thousand, six hundred ninety-six".