57059882590464 has 1728 divisors, whose sum is σ = 199251532247040. Its totient is φ = 16129568931840.

The previous prime is 57059882590463. The next prime is 57059882590531. The reversal of 57059882590464 is 46409528895075.

57059882590464 is a `hidden beast` number, since 5 + 7 + 0 + 59 + 8 + 8 + 25 + 90 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 57059882590392 and 57059882590401.

It is not an unprimeable number, because it can be changed into a prime (57059882590463) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 116211573259 + ... + 116211573749.

It is an arithmetic number, because the mean of its divisors is an integer number (115307599680).

Almost surely, 2^{57059882590464} is an apocalyptic number.

57059882590464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57059882590464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99625766123520).

57059882590464 is an abundant number, since it is smaller than the sum of its proper divisors (142191649656576).

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

57059882590464 is a wasteful number, since it uses less digits than its factorization.

57059882590464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 57059882590464 in words is "fifty-seven trillion, fifty-nine billion, eight hundred eighty-two million, five hundred ninety thousand, four hundred sixty-four".