5782145454720 has 512 divisors, whose sum is σ = 21654694656000. Its totient is φ = 1455766732800.

The previous prime is 5782145454713. The next prime is 5782145454803. The reversal of 5782145454720 is 274545412875.

5782145454720 is a `hidden beast` number, since 5 + 7 + 8 + 21 + 4 + 54 + 547 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21831246 + ... + 22094514.

It is an arithmetic number, because the mean of its divisors is an integer number (42294325500).

Almost surely, 2^{5782145454720} 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 5782145454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10827347328000).

5782145454720 is an abundant number, since it is smaller than the sum of its proper divisors (15872549201280).

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

5782145454720 is a wasteful number, since it uses less digits than its factorization.

5782145454720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263369 (or 263351 counting only the distinct ones).

The product of its (nonzero) digits is 12544000, while the sum is 54.

The spelling of 5782145454720 in words is "five trillion, seven hundred eighty-two billion, one hundred forty-five million, four hundred fifty-four thousand, seven hundred twenty".