57985371360 has 288 divisors, whose sum is σ = 226988116992. Its totient is φ = 13204270080.

The previous prime is 57985371347. The next prime is 57985371371. The reversal of 57985371360 is 6317358975.

57985371360 is a `hidden beast` number, since 5 + 7 + 98 + 537 + 13 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 57985371297 and 57985371306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2721067 + ... + 2742293.

It is an arithmetic number, because the mean of its divisors is an integer number (788153184).

Almost surely, 2^57985371360 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 57985371360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113494058496).

57985371360 is an abundant number, since it is smaller than the sum of its proper divisors (169002745632).

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

57985371360 is a wasteful number, since it uses less digits than its factorization.

57985371360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21526 (or 21515 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 57985371360 in words is "fifty-seven billion, nine hundred eighty-five million, three hundred seventy-one thousand, three hundred sixty".