57541534364160 has 4320 divisors, whose sum is σ = 278883898413120. Its totient is φ = 10811385446400.

The previous prime is 57541534364117. The next prime is 57541534364161. The reversal of 57541534364160 is 6146343514575.

57541534364160 is a `hidden beast` number, since 5 + 7 + 5 + 4 + 1 + 534 + 3 + 6 + 41 + 60 = 666.

It is a super-2 number, since 2×57541534364160² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57541534364097 and 57541534364106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57541534364161) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 124818946330 + ... + 124818946790.

It is an arithmetic number, because the mean of its divisors is an integer number (64556457966).

Almost surely, 2^{57541534364160} 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 57541534364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139441949206560).

57541534364160 is an abundant number, since it is smaller than the sum of its proper divisors (221342364048960).

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

57541534364160 is a wasteful number, since it uses less digits than its factorization.

57541534364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 57541534364160 in words is "fifty-seven trillion, five hundred forty-one billion, five hundred thirty-four million, three hundred sixty-four thousand, one hundred sixty".