57533419359104 has 128 divisors (see below), whose sum is σ = 124400162880000. Its totient is φ = 26346800240640.

The previous prime is 57533419359079. The next prime is 57533419359121. The reversal of 57533419359104 is 40195391433575.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 118635839 + ... + 119119809.

It is an arithmetic number, because the mean of its divisors is an integer number (971876272500).

Almost surely, 2^{57533419359104} 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 57533419359104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62200081440000).

57533419359104 is an abundant number, since it is smaller than the sum of its proper divisors (66866743520896).

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

57533419359104 is a wasteful number, since it uses less digits than its factorization.

57533419359104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484556 (or 484544 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 59.

The spelling of 57533419359104 in words is "fifty-seven trillion, five hundred thirty-three billion, four hundred nineteen million, three hundred fifty-nine thousand, one hundred four".