506532164440 has 128 divisors (see below), whose sum is σ = 1220546880000. Its totient is φ = 188768563200.

The previous prime is 506532164423. The next prime is 506532164443. The reversal of 506532164440 is 44461235605.

It is a super-2 number, since 2×506532164440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 506532164393 and 506532164402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506532164443) 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, 12529860 + ... + 12570220.

It is an arithmetic number, because the mean of its divisors is an integer number (9535522500).

Almost surely, 2^506532164440 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 506532164440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610273440000).

506532164440 is an abundant number, since it is smaller than the sum of its proper divisors (714014715560).

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

506532164440 is a wasteful number, since it uses less digits than its factorization.

506532164440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40781 (or 40777 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 506532164440 in words is "five hundred six billion, five hundred thirty-two million, one hundred sixty-four thousand, four hundred forty".