501430711680 has 256 divisors, whose sum is σ = 1784836800000. Its totient is φ = 133042010112.

The previous prime is 501430711633. The next prime is 501430711681. The reversal of 501430711680 is 86117034105.

501430711680 is a `hidden beast` number, since 501 + 4 + 3 + 0 + 71 + 1 + 6 + 80 = 666.

It is a super-2 number, since 2×501430711680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501430711681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3365811 + ... + 3511629.

It is an arithmetic number, because the mean of its divisors is an integer number (6972018750).

Almost surely, 2^501430711680 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 501430711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892418400000).

501430711680 is an abundant number, since it is smaller than the sum of its proper divisors (1283406088320).

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

501430711680 is a wasteful number, since it uses less digits than its factorization.

501430711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146046 (or 146028 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 501430711680 its reverse (86117034105), we get a palindrome (587547745785).

The spelling of 501430711680 in words is "five hundred one billion, four hundred thirty million, seven hundred eleven thousand, six hundred eighty".