127053386544 has 240 divisors, whose sum is σ = 393946119168. Its totient is φ = 35156104704.

The previous prime is 127053386543. The next prime is 127053386573. The reversal of 127053386544 is 445683350721.

It is a super-2 number, since 2×127053386544² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 127053386493 and 127053386502.

It is not an unprimeable number, because it can be changed into a prime (127053386543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19403079 + ... + 19409625.

Almost surely, 2^127053386544 is an apocalyptic number.

127053386544 is a gapful number since it is divisible by the number (14) 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 127053386544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196973059584).

127053386544 is an abundant number, since it is smaller than the sum of its proper divisors (266892732624).

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

127053386544 is a wasteful number, since it uses less digits than its factorization.

127053386544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6832 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 127053386544 in words is "one hundred twenty-seven billion, fifty-three million, three hundred eighty-six thousand, five hundred forty-four".