127927486080 has 672 divisors, whose sum is σ = 489355533540. Its totient is φ = 31854477312.

The previous prime is 127927486031. The next prime is 127927486081. The reversal of 127927486080 is 80684729721.

It is a happy number.

127927486080 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 27 + 4 + 8 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127174971456 + 752514624 = 356616^2 + 27432^2 .

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

It is not an unprimeable number, because it can be changed into a prime (127927486081) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1007302977 + ... + 1007303103.

Almost surely, 2^127927486080 is an apocalyptic number.

127927486080 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 127927486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244677766770).

127927486080 is an abundant number, since it is smaller than the sum of its proper divisors (361428047460).

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

127927486080 is an frugal number, since it uses more digits than its factorization.

127927486080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 127927486080 in words is "one hundred twenty-seven billion, nine hundred twenty-seven million, four hundred eighty-six thousand, eighty".