127834680960000 has 1485 divisors, whose sum is σ = 537357113868861. Its totient is φ = 29175939072000.

The previous prime is 127834680959963. The next prime is 127834680960067. The reversal of 127834680960000 is 69086438721.

The square root of 127834680960000 is 11306400.

It is a perfect power (a square), and thus also a powerful number.

127834680960000 is a `hidden beast` number, since 1 + 27 + 8 + 3 + 4 + 6 + 8 + 0 + 9 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 114783281980416 + 13051398979584 = 10713696^2 + 3612672^2 .

It is a super-2 number, since 2×127834680960000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 189947519664 + ... + 189947520336.

Almost surely, 2^{127834680960000} is an apocalyptic number.

127834680960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127834680960000 is the 11306400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127834680960000

127834680960000 is an abundant number, since it is smaller than the sum of its proper divisors (409522432908861).

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

127834680960000 is an frugal number, since it uses more digits than its factorization.

127834680960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 127834680960000 in words is "one hundred twenty-seven trillion, eight hundred thirty-four billion, six hundred eighty million, nine hundred sixty thousand".