127948687473600 has 2520 divisors, whose sum is σ = 572865263464032. Its totient is φ = 27433893888000.

The previous prime is 127948687473569. The next prime is 127948687473611. The reversal of 127948687473600 is 6374786849721.

127948687473600 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 4 + 8 + 6 + 8 + 7 + 4 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 359 ways as a sum of consecutive naturals, for example, 105134500192 + ... + 105134501408.

Almost surely, 2^{127948687473600} is an apocalyptic number.

127948687473600 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 127948687473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286432631732016).

127948687473600 is an abundant number, since it is smaller than the sum of its proper divisors (444916575990432).

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

127948687473600 is a wasteful number, since it uses less digits than its factorization.

127948687473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 127948687473600 in words is "one hundred twenty-seven trillion, nine hundred forty-eight billion, six hundred eighty-seven million, four hundred seventy-three thousand, six hundred".