511212416640 has 128 divisors (see below), whose sum is σ = 1629759035520. Its totient is φ = 136300769280.

The previous prime is 511212416633. The next prime is 511212416647. The reversal of 511212416640 is 46614212115.

It is an interprime number because it is at equal distance from previous prime (511212416633) and next prime (511212416647).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×511212416640² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511212416647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13876645 + ... + 13913435.

It is an arithmetic number, because the mean of its divisors is an integer number (12732492465).

Almost surely, 2^511212416640 is an apocalyptic number.

It is an amenable number.

511212416640 is an abundant number, since it is smaller than the sum of its proper divisors (1118546618880).

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

511212416640 is a wasteful number, since it uses less digits than its factorization.

511212416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44050 (or 44038 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 511212416640 its reverse (46614212115), we get a palindrome (557826628755).

The spelling of 511212416640 in words is "five hundred eleven billion, two hundred twelve million, four hundred sixteen thousand, six hundred forty".