531133195680 has 768 divisors, whose sum is σ = 1990578240000. Its totient is φ = 131890249728.

The previous prime is 531133195679. The next prime is 531133195693. The reversal of 531133195680 is 86591331135.

531133195680 is a `hidden beast` number, since 53 + 1 + 1 + 3 + 31 + 9 + 568 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1675498882 + ... + 1675499198.

It is an arithmetic number, because the mean of its divisors is an integer number (2591898750).

Almost surely, 2^531133195680 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 531133195680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995289120000).

531133195680 is an abundant number, since it is smaller than the sum of its proper divisors (1459445044320).

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

531133195680 is a wasteful number, since it uses less digits than its factorization.

531133195680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 531133195680 in words is "five hundred thirty-one billion, one hundred thirty-three million, one hundred ninety-five thousand, six hundred eighty".