531090386880 has 448 divisors, whose sum is σ = 1765735953408. Its totient is φ = 135121305600.

The previous prime is 531090386873. The next prime is 531090386891. The reversal of 531090386880 is 88683090135.

It is a super-2 number, since 2×531090386880² (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 63 ways as a sum of consecutive naturals, for example, 445171564 + ... + 445172756.

It is an arithmetic number, because the mean of its divisors is an integer number (3941374896).

Almost surely, 2^531090386880 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 531090386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882867976704).

531090386880 is an abundant number, since it is smaller than the sum of its proper divisors (1234645566528).

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

531090386880 is a wasteful number, since it uses less digits than its factorization.

531090386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 531090386880 in words is "five hundred thirty-one billion, ninety million, three hundred eighty-six thousand, eight hundred eighty".