127260160326000 has 720 divisors, whose sum is σ = 485922821948928. Its totient is φ = 30857777280000.

The previous prime is 127260160325959. The next prime is 127260160326043. The reversal of 127260160326000 is 623061062721.

127260160326000 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 6 + 0 + 16 + 0 + 32 + 600 + 0 = 666.

127260160326000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1050365425 + ... + 1050486575.

Almost surely, 2^{127260160326000} is an apocalyptic number.

127260160326000 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 127260160326000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242961410974464).

127260160326000 is an abundant number, since it is smaller than the sum of its proper divisors (358662661622928).

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

127260160326000 is a wasteful number, since it uses less digits than its factorization.

127260160326000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121327 (or 121241 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 127260160326000 in words is "one hundred twenty-seven trillion, two hundred sixty billion, one hundred sixty million, three hundred twenty-six thousand".