5850086341344 has 768 divisors, whose sum is σ = 18726791086080. Its totient is φ = 1564323840000.

The previous prime is 5850086341339. The next prime is 5850086341349. The reversal of 5850086341344 is 4431436800585.

It is an interprime number because it is at equal distance from previous prime (5850086341339) and next prime (5850086341349).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5850086341349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24274217064 + ... + 24274217304.

It is an arithmetic number, because the mean of its divisors is an integer number (24383842560).

Almost surely, 2^{5850086341344} 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 5850086341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9363395543040).

5850086341344 is an abundant number, since it is smaller than the sum of its proper divisors (12876704744736).

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

5850086341344 is a wasteful number, since it uses less digits than its factorization.

5850086341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 5850086341344 in words is "five trillion, eight hundred fifty billion, eighty-six million, three hundred forty-one thousand, three hundred forty-four".