127212572551680 has 1920 divisors, whose sum is σ = 589573920139776. Its totient is φ = 24537622118400.

The previous prime is 127212572551679. The next prime is 127212572551699. The reversal of 127212572551680 is 86155275212721.

127212572551680 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 1 + 2 + 5 + 7 + 2 + 551 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2201604390 + ... + 2201662170.

Almost surely, 2^{127212572551680} is an apocalyptic number.

127212572551680 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 127212572551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294786960069888).

127212572551680 is an abundant number, since it is smaller than the sum of its proper divisors (462361347588096).

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

127212572551680 is a wasteful number, since it uses less digits than its factorization.

127212572551680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57918 (or 57899 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 127212572551680 in words is "one hundred twenty-seven trillion, two hundred twelve billion, five hundred seventy-two million, five hundred fifty-one thousand, six hundred eighty".