511342205664 has 48 divisors (see below), whose sum is σ = 1354587751440. Its totient is φ = 168883660800.

The previous prime is 511342205509. The next prime is 511342205669. The reversal of 511342205664 is 466502243115.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×511342205664² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511342205669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24422937 + ... + 24443864.

It is an arithmetic number, because the mean of its divisors is an integer number (28220578155).

Almost surely, 2^511342205664 is an apocalyptic number.

It is an amenable number.

511342205664 is an abundant number, since it is smaller than the sum of its proper divisors (843245545776).

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

511342205664 is a wasteful number, since it uses less digits than its factorization.

511342205664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48866923 (or 48866915 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

Adding to 511342205664 its reverse (466502243115), we get a palindrome (977844448779).

The spelling of 511342205664 in words is "five hundred eleven billion, three hundred forty-two million, two hundred five thousand, six hundred sixty-four".