127342508545920 has 768 divisors, whose sum is σ = 432408311331840. Its totient is φ = 31851789926400.

The previous prime is 127342508545919. The next prime is 127342508545921. The reversal of 127342508545920 is 29545805243721.

It is an interprime number because it is at equal distance from previous prime (127342508545919) and next prime (127342508545921).

It is a super-2 number, since 2×127342508545920² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127342508545921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18501014799 + ... + 18501021681.

It is an arithmetic number, because the mean of its divisors is an integer number (563031655380).

Almost surely, 2^{127342508545920} is an apocalyptic number.

127342508545920 is a gapful number since it is divisible by the number (10) 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 127342508545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216204155665920).

127342508545920 is an abundant number, since it is smaller than the sum of its proper divisors (305065802785920).

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

127342508545920 is a wasteful number, since it uses less digits than its factorization.

127342508545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7275 (or 7232 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 57.

The spelling of 127342508545920 in words is "one hundred twenty-seven trillion, three hundred forty-two billion, five hundred eight million, five hundred forty-five thousand, nine hundred twenty".