127958213376 has 432 divisors, whose sum is σ = 459436257280. Its totient is φ = 34405171200.

The previous prime is 127958213351. The next prime is 127958213377. The reversal of 127958213376 is 673312859721.

127958213376 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 58 + 213 + 376 = 666.

127958213376 is digitally balanced in base 3, 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 (432).

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 (127958213377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13978401 + ... + 13987551.

Almost surely, 2^127958213376 is an apocalyptic number.

127958213376 is a gapful number since it is divisible by the number (16) 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 127958213376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229718128640).

127958213376 is an abundant number, since it is smaller than the sum of its proper divisors (331478043904).

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

127958213376 is an equidigital number, since it uses as much as digits as its factorization.

127958213376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9217 (or 9180 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 127958213376 in words is "one hundred twenty-seven billion, nine hundred fifty-eight million, two hundred thirteen thousand, three hundred seventy-six".