531344036805120 has 1600 divisors, whose sum is σ = 2449245270269952. Its totient is φ = 106847465472000.

The previous prime is 531344036805047. The next prime is 531344036805133. The reversal of 531344036805120 is 21508630443135.

531344036805120 is a `hidden beast` number, since 5 + 3 + 1 + 3 + 440 + 3 + 6 + 80 + 5 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 494431575 + ... + 495505065.

Almost surely, 2^{531344036805120} 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 531344036805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224622635134976).

531344036805120 is an abundant number, since it is smaller than the sum of its proper divisors (1917901233464832).

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

531344036805120 is a wasteful number, since it uses less digits than its factorization.

531344036805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073575 (or 1073550 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 531344036805120 in words is "five hundred thirty-one trillion, three hundred forty-four billion, thirty-six million, eight hundred five thousand, one hundred twenty".