127997610048 has 1176 divisors, whose sum is σ = 496254877440. Its totient is φ = 32024678400.

The previous prime is 127997609983. The next prime is 127997610067. The reversal of 127997610048 is 840016799721.

127997610048 is a `hidden beast` number, since 12 + 7 + 9 + 9 + 7 + 610 + 0 + 4 + 8 = 666.

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 = 127997609976 and 127997610003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1620222873 + ... + 1620222951.

It is an arithmetic number, because the mean of its divisors is an integer number (421985440).

Almost surely, 2^127997610048 is an apocalyptic number.

127997610048 is a gapful number since it is divisible by the number (18) 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 127997610048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248127438720).

127997610048 is an abundant number, since it is smaller than the sum of its proper divisors (368257267392).

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

127997610048 is an equidigital number, since it uses as much as digits as its factorization.

127997610048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 127997610048 in words is "one hundred twenty-seven billion, nine hundred ninety-seven million, six hundred ten thousand, forty-eight".