127050053760 has 768 divisors, whose sum is σ = 517267296000. Its totient is φ = 28720742400.

The previous prime is 127050053731. The next prime is 127050053771. The reversal of 127050053760 is 67350050721.

127050053760 is a `hidden beast` number, since 1 + 2 + 70 + 50 + 0 + 537 + 6 + 0 = 666.

It is a super-2 number, since 2×127050053760² (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 an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 211397460 + ... + 211398060.

It is an arithmetic number, because the mean of its divisors is an integer number (673525125).

Almost surely, 2^127050053760 is an apocalyptic number.

127050053760 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 127050053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258633648000).

127050053760 is an abundant number, since it is smaller than the sum of its proper divisors (390217242240).

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

127050053760 is a wasteful number, since it uses less digits than its factorization.

127050053760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 127050053760 in words is "one hundred twenty-seven billion, fifty million, fifty-three thousand, seven hundred sixty".