127935013824 has 42 divisors (see below), whose sum is σ = 366702619400. Its totient is φ = 42645004416.

The previous prime is 127935013823. The next prime is 127935013853. The reversal of 127935013824 is 428310539721.

It is a happy number.

127935013824 is a `hidden beast` number, since 1 + 2 + 7 + 93 + 501 + 38 + 24 = 666.

It is a super-2 number, since 2×127935013824² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127935013824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127935013823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111054124 + ... + 111055275.

Almost surely, 2^127935013824 is an apocalyptic number.

It is an amenable number.

127935013824 is an abundant number, since it is smaller than the sum of its proper divisors (238767605576).

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

127935013824 is a wasteful number, since it uses less digits than its factorization.

127935013824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222109417 (or 222109404 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 127935013824 in words is "one hundred twenty-seven billion, nine hundred thirty-five million, thirteen thousand, eight hundred twenty-four".