57327013546560 has 336 divisors, whose sum is σ = 201399599232000. Its totient is φ = 14960219000832.

The previous prime is 57327013546483. The next prime is 57327013546589. The reversal of 57327013546560 is 6564531072375.

57327013546560 is a `hidden beast` number, since 5 + 7 + 3 + 2 + 7 + 0 + 1 + 35 + 46 + 560 = 666.

It is a super-4 number, since 4×57327013546560⁴ (a number of 56 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57327013546497 and 57327013546506.

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 47 ways as a sum of consecutive naturals, for example, 1526706666 + ... + 1526744214.

Almost surely, 2^{57327013546560} 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 57327013546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100699799616000).

57327013546560 is an abundant number, since it is smaller than the sum of its proper divisors (144072585685440).

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

57327013546560 is a wasteful number, since it uses less digits than its factorization.

57327013546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48898 (or 48885 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 57327013546560 in words is "fifty-seven trillion, three hundred twenty-seven billion, thirteen million, five hundred forty-six thousand, five hundred sixty".