57127427260760 has 128 divisors (see below), whose sum is σ = 131722140695040. Its totient is φ = 22291573248000.

The previous prime is 57127427260697. The next prime is 57127427260763. The reversal of 57127427260760 is 6706272472175.

It is a junction number, because it is equal to n+sod(n) for n = 57127427260696 and 57127427260705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57127427260763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1281235187 + ... + 1281279773.

It is an arithmetic number, because the mean of its divisors is an integer number (1029079224180).

Almost surely, 2^{57127427260760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57127427260760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65861070347520).

57127427260760 is an abundant number, since it is smaller than the sum of its proper divisors (74594713434280).

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

57127427260760 is a wasteful number, since it uses less digits than its factorization.

57127427260760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49417 (or 49413 counting only the distinct ones).

The product of its (nonzero) digits is 13829760, while the sum is 56.

The spelling of 57127427260760 in words is "fifty-seven trillion, one hundred twenty-seven billion, four hundred twenty-seven million, two hundred sixty thousand, seven hundred sixty".