5813381280 has 384 divisors, whose sum is σ = 21493237248. Its totient is φ = 1293484032.

The previous prime is 5813381201. The next prime is 5813381309. The reversal of 5813381280 is 821833185.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33603274 + ... + 33603446.

It is an arithmetic number, because the mean of its divisors is an integer number (55971972).

Almost surely, 2^5813381280 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 5813381280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10746618624).

5813381280 is an abundant number, since it is smaller than the sum of its proper divisors (15679855968).

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

5813381280 is a wasteful number, since it uses less digits than its factorization.

5813381280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 5813381280 is about 76245.5328527514. The cubic root of 5813381280 is about 1798.0824517797.

The spelling of 5813381280 in words is "five billion, eight hundred thirteen million, three hundred eighty-one thousand, two hundred eighty".