127391734080 has 336 divisors, whose sum is σ = 484639004304. Its totient is φ = 30510120960.

The previous prime is 127391734061. The next prime is 127391734097. The reversal of 127391734080 is 80437193721.

127391734080 is a `hidden beast` number, since 1 + 2 + 73 + 9 + 173 + 408 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2007756864 + 125383977216 = 44808^2 + 354096^2 .

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 47 ways as a sum of consecutive naturals, for example, 1339300 + ... + 1431260.

It is an arithmetic number, because the mean of its divisors is an integer number (1442377989).

Almost surely, 2^127391734080 is an apocalyptic number.

127391734080 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 127391734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242319502152).

127391734080 is an abundant number, since it is smaller than the sum of its proper divisors (357247270224).

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

127391734080 is a wasteful number, since it uses less digits than its factorization.

127391734080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92034 (or 92021 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 127391734080 in words is "one hundred twenty-seven billion, three hundred ninety-one million, seven hundred thirty-four thousand, eighty".