577553633047072 has 192 divisors, whose sum is σ = 1345495874494464. Its totient is φ = 241055940464640.

The previous prime is 577553633047033. The next prime is 577553633047081. The reversal of 577553633047072 is 270740336355775.

It is a junction number, because it is equal to n+sod(n) for n = 577553633046995 and 577553633047013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220759813 + ... + 223360699.

It is an arithmetic number, because the mean of its divisors is an integer number (7007791012992).

Almost surely, 2^{577553633047072} 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 577553633047072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672747937247232).

577553633047072 is an abundant number, since it is smaller than the sum of its proper divisors (767942241447392).

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

577553633047072 is a wasteful number, since it uses less digits than its factorization.

577553633047072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601831 (or 2601823 counting only the distinct ones).

The product of its (nonzero) digits is 388962000, while the sum is 64.

The spelling of 577553633047072 in words is "five hundred seventy-seven trillion, five hundred fifty-three billion, six hundred thirty-three million, forty-seven thousand, seventy-two".