57419655988608 has 256 divisors, whose sum is σ = 169867942041600. Its totient is φ = 19094739406848.

The previous prime is 57419655988601. The next prime is 57419655988609. The reversal of 57419655988608 is 80688955691475.

57419655988608 is a `hidden beast` number, since 5 + 7 + 4 + 19 + 6 + 5 + 598 + 8 + 6 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57419655988601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2652534841 + ... + 2652556487.

It is an arithmetic number, because the mean of its divisors is an integer number (663546648600).

Almost surely, 2^{57419655988608} 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 57419655988608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84933971020800).

57419655988608 is an abundant number, since it is smaller than the sum of its proper divisors (112448286052992).

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

57419655988608 is a wasteful number, since it uses less digits than its factorization.

57419655988608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23446 (or 23428 counting only the distinct ones).

The product of its (nonzero) digits is 5225472000, while the sum is 81.

The spelling of 57419655988608 in words is "fifty-seven trillion, four hundred nineteen billion, six hundred fifty-five million, nine hundred eighty-eight thousand, six hundred eight".