5835813641280 has 672 divisors, whose sum is σ = 23587445726208. Its totient is φ = 1296514252800.

The previous prime is 5835813641261. The next prime is 5835813641293. The reversal of 5835813641280 is 821463185385.

5835813641280 is a `hidden beast` number, since 5 + 8 + 3 + 581 + 36 + 4 + 1 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223984734 + ... + 224010786.

It is an arithmetic number, because the mean of its divisors is an integer number (35100365664).

Almost surely, 2^{5835813641280} 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 5835813641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793722863104).

5835813641280 is an abundant number, since it is smaller than the sum of its proper divisors (17751632084928).

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

5835813641280 is a wasteful number, since it uses less digits than its factorization.

5835813641280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26395 (or 26382 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 5835813641280 in words is "five trillion, eight hundred thirty-five billion, eight hundred thirteen million, six hundred forty-one thousand, two hundred eighty".