127973011682880 has 8064 divisors, whose sum is σ = 649057096396800. Its totient is φ = 23342846312448.

The previous prime is 127973011682869. The next prime is 127973011682881. The reversal of 127973011682880 is 88286110379721.

127973011682880 is a `hidden beast` number, since 1 + 2 + 7 + 97 + 301 + 168 + 2 + 8 + 80 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (127973011682881) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1753054954524 + ... + 1753054954596.

It is an arithmetic number, because the mean of its divisors is an integer number (80488231200).

Almost surely, 2^{127973011682880} is an apocalyptic number.

127973011682880 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 127973011682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324528548198400).

127973011682880 is an abundant number, since it is smaller than the sum of its proper divisors (521084084713920).

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

127973011682880 is a wasteful number, since it uses less digits than its factorization.

127973011682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 127973011682880 in words is "one hundred twenty-seven trillion, nine hundred seventy-three billion, eleven million, six hundred eighty-two thousand, eight hundred eighty".