531240451768320 has 1088 divisors, whose sum is σ = 2111046219202560. Its totient is φ = 111323853619200.

The previous prime is 531240451768283. The next prime is 531240451768357. The reversal of 531240451768320 is 23867154042135.

It is an interprime number because it is at equal distance from previous prime (531240451768283) and next prime (531240451768357).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4053008385 + ... + 4053139455.

Almost surely, 2^{531240451768320} 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 531240451768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055523109601280).

531240451768320 is an abundant number, since it is smaller than the sum of its proper divisors (1579805767434240).

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

531240451768320 is a wasteful number, since it uses less digits than its factorization.

531240451768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131168 (or 131138 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 531240451768320 in words is "five hundred thirty-one trillion, two hundred forty billion, four hundred fifty-one million, seven hundred sixty-eight thousand, three hundred twenty".