127521838080 has 1760 divisors, whose sum is σ = 585888737280. Its totient is φ = 25798901760.

The previous prime is 127521838079. The next prime is 127521838097. The reversal of 127521838080 is 80838125721.

127521838080 is a `hidden beast` number, since 12 + 7 + 521 + 8 + 38 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1169925066 + ... + 1169925174.

It is an arithmetic number, because the mean of its divisors is an integer number (332891328).

Almost surely, 2^127521838080 is an apocalyptic number.

127521838080 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 127521838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292944368640).

127521838080 is an abundant number, since it is smaller than the sum of its proper divisors (458366899200).

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

127521838080 is a wasteful number, since it uses less digits than its factorization.

127521838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 127521838080 in words is "one hundred twenty-seven billion, five hundred twenty-one million, eight hundred thirty-eight thousand, eighty".