127057911552 has 972 divisors, whose sum is σ = 467191082904. Its totient is φ = 33995427840.

The previous prime is 127057911521. The next prime is 127057911553. The reversal of 127057911552 is 255119750721.

127057911552 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 5 + 7 + 91 + 1 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a super-2 number, since 2×127057911552² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127057911498 and 127057911507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127057911553) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5524257013 + ... + 5524257035.

Almost surely, 2^127057911552 is an apocalyptic number.

127057911552 is a gapful number since it is divisible by the number (12) 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 127057911552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233595541452).

127057911552 is an abundant number, since it is smaller than the sum of its proper divisors (340133171352).

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

127057911552 is an frugal number, since it uses more digits than its factorization.

127057911552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 45.

The spelling of 127057911552 in words is "one hundred twenty-seven billion, fifty-seven million, nine hundred eleven thousand, five hundred fifty-two".