127864418125752 has 144 divisors (see below), whose sum is σ = 435020816695920. Its totient is φ = 33211537159680.

The previous prime is 127864418125751. The next prime is 127864418125753. The reversal of 127864418125752 is 257521814468721.

127864418125752 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 6 + 4 + 41 + 8 + 12 + 575 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (127864418125751) and next prime (127864418125753).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 127864418125752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127864418125751) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1048282993 + ... + 1048404960.

Almost surely, 2^{127864418125752} is an apocalyptic number.

127864418125752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127864418125752 is an abundant number, since it is smaller than the sum of its proper divisors (307156398570168).

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

127864418125752 is a wasteful number, since it uses less digits than its factorization.

127864418125752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096687994 (or 2096687976 counting only the distinct ones).

The product of its digits is 60211200, while the sum is 63.

The spelling of 127864418125752 in words is "one hundred twenty-seven trillion, eight hundred sixty-four billion, four hundred eighteen million, one hundred twenty-five thousand, seven hundred fifty-two".