5857686159360 has 1536 divisors, whose sum is σ = 23455498682880. Its totient is φ = 1221851086848.

The previous prime is 5857686159341. The next prime is 5857686159401. The reversal of 5857686159360 is 639516867585.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42756833212 + ... + 42756833348.

It is an arithmetic number, because the mean of its divisors is an integer number (15270506955).

Almost surely, 2^{5857686159360} 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 5857686159360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11727749341440).

5857686159360 is an abundant number, since it is smaller than the sum of its proper divisors (17597812523520).

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

5857686159360 is a wasteful number, since it uses less digits than its factorization.

5857686159360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 69.

The spelling of 5857686159360 in words is "five trillion, eight hundred fifty-seven billion, six hundred eighty-six million, one hundred fifty-nine thousand, three hundred sixty".