531268729138000 has 480 divisors, whose sum is σ = 1602270780963840. Its totient is φ = 169264514764800.

The previous prime is 531268729137989. The next prime is 531268729138031. The reversal of 531268729138000 is 831927862135.

It is a super-2 number, since 2×531268729138000² (a number of 30 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, 129595717 + ... + 133632283.

It is an arithmetic number, because the mean of its divisors is an integer number (3338064127008).

Almost surely, 2^{531268729138000} is an apocalyptic number.

531268729138000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531268729138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801135390481920).

531268729138000 is an abundant number, since it is smaller than the sum of its proper divisors (1071002051825840).

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

531268729138000 is a wasteful number, since it uses less digits than its factorization.

531268729138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036700 (or 4036677 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 531268729138000 in words is "five hundred thirty-one trillion, two hundred sixty-eight billion, seven hundred twenty-nine million, one hundred thirty-eight thousand".