511223205240 has 384 divisors, whose sum is σ = 1901950502400. Its totient is φ = 117878492160.

The previous prime is 511223205221. The next prime is 511223205289. The reversal of 511223205240 is 42502322115.

511223205240 is a `hidden beast` number, since 5 + 112 + 2 + 3 + 20 + 524 + 0 = 666.

It is a super-2 number, since 2×511223205240² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16287642 + ... + 16318998.

It is an arithmetic number, because the mean of its divisors is an integer number (4952996100).

Almost surely, 2^511223205240 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 511223205240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950975251200).

511223205240 is an abundant number, since it is smaller than the sum of its proper divisors (1390727297160).

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

511223205240 is a wasteful number, since it uses less digits than its factorization.

511223205240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31587 (or 31580 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 511223205240 its reverse (42502322115), we get a palindrome (553725527355).

The spelling of 511223205240 in words is "five hundred eleven billion, two hundred twenty-three million, two hundred five thousand, two hundred forty".