5865169998960 has 800 divisors, whose sum is σ = 22172641128000. Its totient is φ = 1431839047680.

The previous prime is 5865169998959. The next prime is 5865169998973. The reversal of 5865169998960 is 698999615685.

5865169998960 is a `hidden beast` number, since 5 + 8 + 6 + 516 + 9 + 9 + 9 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 5865169998960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 678756240 + ... + 678764880.

It is an arithmetic number, because the mean of its divisors is an integer number (27715801410).

Almost surely, 2^{5865169998960} 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 5865169998960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11086320564000).

5865169998960 is an abundant number, since it is smaller than the sum of its proper divisors (16307471129040).

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

5865169998960 is a wasteful number, since it uses less digits than its factorization.

5865169998960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8871 (or 8856 counting only the distinct ones).

The product of its (nonzero) digits is 2267481600, while the sum is 81.

The spelling of 5865169998960 in words is "five trillion, eight hundred sixty-five billion, one hundred sixty-nine million, nine hundred ninety-eight thousand, nine hundred sixty".