127209005849952 has 288 divisors, whose sum is σ = 434204118522720. Its totient is φ = 34899922206720.

The previous prime is 127209005849917. The next prime is 127209005849977. The reversal of 127209005849952 is 259948500902721.

127209005849952 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 0 + 90 + 0 + 5 + 8 + 499 + 52 = 666.

127209005849952 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 127209005849952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51386299 + ... + 53804922.

It is an arithmetic number, because the mean of its divisors is an integer number (1507653189315).

Almost surely, 2^{127209005849952} is an apocalyptic number.

127209005849952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127209005849952 is an abundant number, since it is smaller than the sum of its proper divisors (306995112672768).

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

127209005849952 is a wasteful number, since it uses less digits than its factorization.

127209005849952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105191286 (or 105191275 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 127209005849952 in words is "one hundred twenty-seven trillion, two hundred nine billion, five million, eight hundred forty-nine thousand, nine hundred fifty-two".