127164738560 has 176 divisors, whose sum is σ = 310498392576. Its totient is φ = 49962811392.

The previous prime is 127164738557. The next prime is 127164738587. The reversal of 127164738560 is 65837461721.

It is a junction number, because it is equal to n+sod(n) for n = 127164738499 and 127164738508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116986337 + ... + 116987423.

Almost surely, 2^127164738560 is an apocalyptic number.

127164738560 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 127164738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155249196288).

127164738560 is an abundant number, since it is smaller than the sum of its proper divisors (183333654016).

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

127164738560 is a wasteful number, since it uses less digits than its factorization.

127164738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 127164738560 in words is "one hundred twenty-seven billion, one hundred sixty-four million, seven hundred thirty-eight thousand, five hundred sixty".