127047806484480 has 2112 divisors, whose sum is σ = 554018436840960. Its totient is φ = 27266063007744.

The previous prime is 127047806484437. The next prime is 127047806484517. The reversal of 127047806484480 is 84484608740721.

127047806484480 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 4 + 78 + 0 + 6 + 4 + 84 + 480 = 666.

It is a super-2 number, since 2×127047806484480² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 303216721711 + ... + 303216722129.

Almost surely, 2^{127047806484480} is an apocalyptic number.

127047806484480 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 127047806484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277009218420480).

127047806484480 is an abundant number, since it is smaller than the sum of its proper divisors (426970630356480).

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

127047806484480 is an frugal number, since it uses more digits than its factorization.

127047806484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 77070336, while the sum is 63.

The spelling of 127047806484480 in words is "one hundred twenty-seven trillion, forty-seven billion, eight hundred six million, four hundred eighty-four thousand, four hundred eighty".