5861828269440 has 1536 divisors, whose sum is σ = 24790335897600. Its totient is φ = 1304875008000.

The previous prime is 5861828269393. The next prime is 5861828269447. The reversal of 5861828269440 is 449628281685.

5861828269440 is a `hidden beast` number, since 5 + 8 + 6 + 182 + 8 + 2 + 6 + 9 + 440 = 666.

It is a super-2 number, since 2×5861828269440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5861828269447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5092812865 + ... + 5092814015.

It is an arithmetic number, because the mean of its divisors is an integer number (16139541600).

Almost surely, 2^{5861828269440} 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 5861828269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12395167948800).

5861828269440 is an abundant number, since it is smaller than the sum of its proper divisors (18928507628160).

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

5861828269440 is a wasteful number, since it uses less digits than its factorization.

5861828269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 5861828269440 in words is "five trillion, eight hundred sixty-one billion, eight hundred twenty-eight million, two hundred sixty-nine thousand, four hundred forty".