127960560000 has 2400 divisors, whose sum is σ = 615360271680. Its totient is φ = 26127360000.

The previous prime is 127960559999. The next prime is 127960560001. The reversal of 127960560000 is 65069721.

127960560000 is a `hidden beast` number, since 1 + 2 + 7 + 96 + 0 + 560 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (127960559999) and next prime (127960560001).

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127960560001) by changing a digit.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 4127759985 + ... + 4127760015.

Almost surely, 2^127960560000 is an apocalyptic number.

127960560000 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 127960560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307680135840).

127960560000 is an abundant number, since it is smaller than the sum of its proper divisors (487399711680).

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

127960560000 is an equidigital number, since it uses as much as digits as its factorization.

127960560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 127960560000 in words is "one hundred twenty-seven billion, nine hundred sixty million, five hundred sixty thousand".