576052145088 has 224 divisors, whose sum is σ = 1896777715200. Its totient is φ = 150547009536.

The previous prime is 576052145057. The next prime is 576052145101. The reversal of 576052145088 is 880541250675.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 576052145088.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351606 + ... + 1129482.

Almost surely, 2^576052145088 is an apocalyptic number.

576052145088 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 576052145088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948388857600).

576052145088 is an abundant number, since it is smaller than the sum of its proper divisors (1320725570112).

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

576052145088 is a wasteful number, since it uses less digits than its factorization.

576052145088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777947 (or 777937 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 51.

The spelling of 576052145088 in words is "five hundred seventy-six billion, fifty-two million, one hundred forty-five thousand, eighty-eight".