57461018688 has 168 divisors, whose sum is σ = 170223013376. Its totient is φ = 18513100800.

The previous prime is 57461018687. The next prime is 57461018737. The reversal of 57461018688 is 88681016475.

It is a happy number.

57461018688 is a `hidden beast` number, since 5 + 7 + 4 + 610 + 18 + 6 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (57461018683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20586573 + ... + 20589363.

Almost surely, 2^57461018688 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 57461018688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85111506688).

57461018688 is an abundant number, since it is smaller than the sum of its proper divisors (112761994688).

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

57461018688 is a wasteful number, since it uses less digits than its factorization.

57461018688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 57461018688 in words is "fifty-seven billion, four hundred sixty-one million, eighteen thousand, six hundred eighty-eight".