127393523712 has 1152 divisors, whose sum is σ = 490818182400. Its totient is φ = 32105299968.

The previous prime is 127393523629. The next prime is 127393523729. The reversal of 127393523712 is 217325393721.

127393523712 is a `hidden beast` number, since 1 + 27 + 3 + 93 + 523 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1313335248 + ... + 1313335344.

It is an arithmetic number, because the mean of its divisors is an integer number (426057450).

Almost surely, 2^127393523712 is an apocalyptic number.

127393523712 is a gapful number since it is divisible by the number (12) 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 127393523712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245409091200).

127393523712 is an abundant number, since it is smaller than the sum of its proper divisors (363424658688).

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

127393523712 is an equidigital number, since it uses as much as digits as its factorization.

127393523712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 151 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The spelling of 127393523712 in words is "one hundred twenty-seven billion, three hundred ninety-three million, five hundred twenty-three thousand, seven hundred twelve".