5820267225528 has 192 divisors, whose sum is σ = 18494053643520. Its totient is φ = 1618897420800.

The previous prime is 5820267225527. The next prime is 5820267225581. The reversal of 5820267225528 is 8255227620285.

5820267225528 is a `hidden beast` number, since 5 + 8 + 2 + 0 + 2 + 67 + 22 + 552 + 8 = 666.

It is a Cunningham number, because it is equal to 2412523²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5820267225527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9348523 + ... + 9951653.

It is an arithmetic number, because the mean of its divisors is an integer number (96323196060).

Almost surely, 2^{5820267225528} 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 5820267225528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9247026821760).

5820267225528 is an abundant number, since it is smaller than the sum of its proper divisors (12673786417992).

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

5820267225528 is a wasteful number, since it uses less digits than its factorization.

5820267225528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603658 (or 603651 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 5820267225528 in words is "five trillion, eight hundred twenty billion, two hundred sixty-seven million, two hundred twenty-five thousand, five hundred twenty-eight".