531139504896 has 3456 divisors, whose sum is σ = 2468466524160. Its totient is φ = 105106636800.

The previous prime is 531139504871. The next prime is 531139504901. The reversal of 531139504896 is 698405931135.

531139504896 is a `hidden beast` number, since 5 + 3 + 11 + 39 + 504 + 8 + 96 = 666.

It is a super-2 number, since 2×531139504896² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17133532401 + ... + 17133532431.

It is an arithmetic number, because the mean of its divisors is an integer number (714255360).

Almost surely, 2^531139504896 is an apocalyptic number.

531139504896 is a gapful number since it is divisible by the number (56) 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 531139504896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234233262080).

531139504896 is an abundant number, since it is smaller than the sum of its proper divisors (1937327019264).

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

531139504896 is a wasteful number, since it uses less digits than its factorization.

531139504896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 531139504896 in words is "five hundred thirty-one billion, one hundred thirty-nine million, five hundred four thousand, eight hundred ninety-six".