127998585262080 has 2080 divisors, whose sum is σ = 519340895377920. Its totient is φ = 29920355942400.

The previous prime is 127998585262013. The next prime is 127998585262117. The reversal of 127998585262080 is 80262585899721.

127998585262080 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 98 + 5 + 8 + 526 + 2 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 74896772266 + ... + 74896773974.

Almost surely, 2^{127998585262080} is an apocalyptic number.

127998585262080 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 127998585262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259670447688960).

127998585262080 is an abundant number, since it is smaller than the sum of its proper divisors (391342310115840).

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

127998585262080 is a wasteful number, since it uses less digits than its factorization.

127998585262080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 127998585262080 in words is "one hundred twenty-seven trillion, nine hundred ninety-eight billion, five hundred eighty-five million, two hundred sixty-two thousand, eighty".