57453662571840 has 672 divisors, whose sum is σ = 203932179079200. Its totient is φ = 14839783096320.

The previous prime is 57453662571839. The next prime is 57453662571841. The reversal of 57453662571840 is 4817526635475.

57453662571840 is a `hidden beast` number, since 5 + 7 + 4 + 5 + 366 + 257 + 18 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57453662571839) and next prime (57453662571841).

It can be written as a sum of positive squares in 16 ways, for example, as 2841316416 + 57450821255424 = 53304^2 + 7579632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57453662571841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4675204416 + ... + 4675216704.

Almost surely, 2^{57453662571840} 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 57453662571840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101966089539600).

57453662571840 is an abundant number, since it is smaller than the sum of its proper divisors (146478516507360).

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

57453662571840 is a wasteful number, since it uses less digits than its factorization.

57453662571840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12755 (or 12742 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 57453662571840 in words is "fifty-seven trillion, four hundred fifty-three billion, six hundred sixty-two million, five hundred seventy-one thousand, eight hundred forty".