127671828480 has 1536 divisors, whose sum is σ = 573772032000. Its totient is φ = 26754416640.

The previous prime is 127671828467. The next prime is 127671828481. The reversal of 127671828480 is 84828176721.

127671828480 is a `hidden beast` number, since 1 + 2 + 76 + 71 + 8 + 28 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×127671828480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127671828481) 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, 4118446065 + ... + 4118446095.

It is an arithmetic number, because the mean of its divisors is an integer number (373549500).

Almost surely, 2^127671828480 is an apocalyptic number.

127671828480 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 127671828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286886016000).

127671828480 is an abundant number, since it is smaller than the sum of its proper divisors (446100203520).

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

127671828480 is an equidigital number, since it uses as much as digits as its factorization.

127671828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 127671828480 in words is "one hundred twenty-seven billion, six hundred seventy-one million, eight hundred twenty-eight thousand, four hundred eighty".