57191556240 has 480 divisors, whose sum is σ = 236985665280. Its totient is φ = 12036501504.

The previous prime is 57191556229. The next prime is 57191556283. The reversal of 57191556240 is 4265519175.

It is a happy number.

57191556240 is a `hidden beast` number, since 5 + 7 + 1 + 9 + 15 + 5 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34266126 + ... + 34267794.

It is an arithmetic number, because the mean of its divisors is an integer number (493720136).

Almost surely, 2^57191556240 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 57191556240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118492832640).

57191556240 is an abundant number, since it is smaller than the sum of its proper divisors (179794109040).

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

57191556240 is a wasteful number, since it uses less digits than its factorization.

57191556240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 57191556240 in words is "fifty-seven billion, one hundred ninety-one million, five hundred fifty-six thousand, two hundred forty".