57127147506 has 576 divisors, whose sum is σ = 167537099520. Its totient is φ = 14480389440.

The previous prime is 57127147499. The next prime is 57127147523. The reversal of 57127147506 is 60574172175.

57127147506 is a `hidden beast` number, since 5 + 7 + 127 + 14 + 7 + 506 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2483789011 + ... + 2483789033.

It is an arithmetic number, because the mean of its divisors is an integer number (290863020).

Almost surely, 2^57127147506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57127147506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83768549760).

57127147506 is an abundant number, since it is smaller than the sum of its proper divisors (110409952014).

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

57127147506 is a wasteful number, since it uses less digits than its factorization.

57127147506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 57127147506 in words is "fifty-seven billion, one hundred twenty-seven million, one hundred forty-seven thousand, five hundred six".