531780756745680 has 720 divisors, whose sum is σ = 2049553153791936. Its totient is φ = 123082160947200.

The previous prime is 531780756745633. The next prime is 531780756745687. The reversal of 531780756745680 is 86547657087135.

531780756745680 is a `hidden beast` number, since 5 + 3 + 1 + 7 + 8 + 0 + 7 + 56 + 7 + 4 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 531780756745599 and 531780756745608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531780756745687) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2173934259 + ... + 2174178861.

Almost surely, 2^{531780756745680} 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 531780756745680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024776576895968).

531780756745680 is an abundant number, since it is smaller than the sum of its proper divisors (1517772397046256).

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

531780756745680 is a wasteful number, since it uses less digits than its factorization.

531780756745680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245716 (or 245694 counting only the distinct ones).

The product of its (nonzero) digits is 1185408000, while the sum is 72.

The spelling of 531780756745680 in words is "five hundred thirty-one trillion, seven hundred eighty billion, seven hundred fifty-six million, seven hundred forty-five thousand, six hundred eighty".