127106187264 has 384 divisors, whose sum is σ = 438054814080. Its totient is φ = 34724118528.

The previous prime is 127106187227. The next prime is 127106187331. The reversal of 127106187264 is 462781601721.

127106187264 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 0 + 618 + 7 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47479494 + ... + 47482170.

It is an arithmetic number, because the mean of its divisors is an integer number (1140767745).

Almost surely, 2^127106187264 is an apocalyptic number.

127106187264 is a gapful number since it is divisible by the number (14) 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 127106187264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219027407040).

127106187264 is an abundant number, since it is smaller than the sum of its proper divisors (310948626816).

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

127106187264 is an equidigital number, since it uses as much as digits as its factorization.

127106187264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

Adding to 127106187264 its reverse (462781601721), we get a palindrome (589887788985).

The spelling of 127106187264 in words is "one hundred twenty-seven billion, one hundred six million, one hundred eighty-seven thousand, two hundred sixty-four".