127575971453952 has 352 divisors, whose sum is σ = 457191912291840. Its totient is φ = 34306142699520.

The previous prime is 127575971453951. The next prime is 127575971453971. The reversal of 127575971453952 is 259354179575721.

127575971453952 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 7 + 5 + 97 + 145 + 395 + 2 = 666.

127575971453952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127575971453951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16097674 + ... + 22677897.

It is an arithmetic number, because the mean of its divisors is an integer number (1298840659920).

Almost surely, 2^{127575971453952} is an apocalyptic number.

127575971453952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127575971453952 is an abundant number, since it is smaller than the sum of its proper divisors (329615940837888).

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

127575971453952 is a wasteful number, since it uses less digits than its factorization.

127575971453952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38775624 (or 38775600 counting only the distinct ones).

The product of its digits is 833490000, while the sum is 72.

The spelling of 127575971453952 in words is "one hundred twenty-seven trillion, five hundred seventy-five billion, nine hundred seventy-one million, four hundred fifty-three thousand, nine hundred fifty-two".