5865413914260 has 288 divisors, whose sum is σ = 19113332539392. Its totient is φ = 1508295634560.

The previous prime is 5865413914247. The next prime is 5865413914273. The reversal of 5865413914260 is 624193145685.

5865413914260 is a `hidden beast` number, since 5 + 8 + 6 + 541 + 3 + 91 + 4 + 2 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5865413914247) and next prime (5865413914273).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5865413914197 and 5865413914206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42567997 + ... + 42705563.

It is an arithmetic number, because the mean of its divisors is an integer number (66365737984).

Almost surely, 2^{5865413914260} 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 5865413914260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9556666269696).

5865413914260 is an abundant number, since it is smaller than the sum of its proper divisors (13247918625132).

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

5865413914260 is a wasteful number, since it uses less digits than its factorization.

5865413914260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137905 (or 137891 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 5865413914260 in words is "five trillion, eight hundred sixty-five billion, four hundred thirteen million, nine hundred fourteen thousand, two hundred sixty".