5805395280 has 640 divisors, whose sum is σ = 22852108800. Its totient is φ = 1345683456.

The previous prime is 5805395279. The next prime is 5805395311. The reversal of 5805395280 is 825935085.

It is a super-2 number, since 2×5805395280² = 67405228714092556800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36976962 + ... + 36977118.

It is an arithmetic number, because the mean of its divisors is an integer number (35706420).

Almost surely, 2^5805395280 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 5805395280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11426054400).

5805395280 is an abundant number, since it is smaller than the sum of its proper divisors (17046713520).

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

5805395280 is a wasteful number, since it uses less digits than its factorization.

5805395280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 5805395280 is about 76193.1445735113. The cubic root of 5805395280 is about 1797.2587162100.

The spelling of 5805395280 in words is "five billion, eight hundred five million, three hundred ninety-five thousand, two hundred eighty".