57161410560 has 768 divisors, whose sum is σ = 216530496000. Its totient is φ = 14273740800.

The previous prime is 57161410517. The next prime is 57161410577. The reversal of 57161410560 is 6501416175.

It is a happy number.

57161410560 is a `hidden beast` number, since 5 + 71 + 6 + 14 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 565954510 + ... + 565954610.

It is an arithmetic number, because the mean of its divisors is an integer number (281940750).

Almost surely, 2^57161410560 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 57161410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108265248000).

57161410560 is an abundant number, since it is smaller than the sum of its proper divisors (159369085440).

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

57161410560 is a wasteful number, since it uses less digits than its factorization.

57161410560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 57161410560 in words is "fifty-seven billion, one hundred sixty-one million, four hundred ten thousand, five hundred sixty".