5802144461568 has 864 divisors, whose sum is σ = 21052676736000. Its totient is φ = 1496105385984.

The previous prime is 5802144461557. The next prime is 5802144461587. The reversal of 5802144461568 is 8651644412085.

5802144461568 is a `hidden beast` number, since 5 + 8 + 0 + 2 + 14 + 4 + 4 + 61 + 568 = 666.

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, 2461663846 + ... + 2461666202.

It is an arithmetic number, because the mean of its divisors is an integer number (24366524000).

Almost surely, 2^{5802144461568} 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 5802144461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10526338368000).

5802144461568 is an abundant number, since it is smaller than the sum of its proper divisors (15250532274432).

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

5802144461568 is a wasteful number, since it uses less digits than its factorization.

5802144461568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 5802144461568 in words is "five trillion, eight hundred two billion, one hundred forty-four million, four hundred sixty-one thousand, five hundred sixty-eight".