57666907296 has 288 divisors, whose sum is σ = 181143406080. Its totient is φ = 17331148800.

The previous prime is 57666907283. The next prime is 57666907301. The reversal of 57666907296 is 69270966675.

57666907296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10344766 + ... + 10350338.

It is an arithmetic number, because the mean of its divisors is an integer number (628970160).

Almost surely, 2^57666907296 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 57666907296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90571703040).

57666907296 is an abundant number, since it is smaller than the sum of its proper divisors (123476498784).

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

57666907296 is a wasteful number, since it uses less digits than its factorization.

57666907296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5700 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 57666907296 in words is "fifty-seven billion, six hundred sixty-six million, nine hundred seven thousand, two hundred ninety-six".