127530063360 has 640 divisors, whose sum is σ = 520423833600. Its totient is φ = 28997222400.

The previous prime is 127530063301. The next prime is 127530063379. The reversal of 127530063360 is 63360035721.

127530063360 is a `hidden beast` number, since 1 + 2 + 7 + 530 + 0 + 63 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×127530063360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110798785 + ... + 110799935.

It is an arithmetic number, because the mean of its divisors is an integer number (813162240).

Almost surely, 2^127530063360 is an apocalyptic number.

127530063360 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 127530063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260211916800).

127530063360 is an abundant number, since it is smaller than the sum of its proper divisors (392893770240).

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

127530063360 is a wasteful number, since it uses less digits than its factorization.

127530063360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 127530063360 in words is "one hundred twenty-seven billion, five hundred thirty million, sixty-three thousand, three hundred sixty".