514260217680 has 640 divisors, whose sum is σ = 1908906393600. Its totient is φ = 113461862400.

The previous prime is 514260217661. The next prime is 514260217687. The reversal of 514260217680 is 86712062415.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514260217687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 402079281 + ... + 402080559.

It is an arithmetic number, because the mean of its divisors is an integer number (2982666240).

Almost surely, 2^514260217680 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 514260217680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954453196800).

514260217680 is an abundant number, since it is smaller than the sum of its proper divisors (1394646175920).

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

514260217680 is a wasteful number, since it uses less digits than its factorization.

514260217680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 514260217680 in words is "five hundred fourteen billion, two hundred sixty million, two hundred seventeen thousand, six hundred eighty".