5985346080 has 288 divisors, whose sum is σ = 22642260480. Its totient is φ = 1323786240.

The previous prime is 5985346069. The next prime is 5985346117. The reversal of 5985346080 is 806435895.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725016 + ... + 733224.

It is an arithmetic number, because the mean of its divisors is an integer number (78618960).

Almost surely, 2^5985346080 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 5985346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321130240).

5985346080 is an abundant number, since it is smaller than the sum of its proper divisors (16656914400).

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

5985346080 is a wasteful number, since it uses less digits than its factorization.

5985346080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8272 (or 8257 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 5985346080 is about 77365.0184514940. The cubic root of 5985346080 is about 1815.6400568742.

The spelling of 5985346080 in words is "five billion, nine hundred eighty-five million, three hundred forty-six thousand, eighty".