52658181680 has 320 divisors, whose sum is σ = 141350952960. Its totient is φ = 18095616000.

The previous prime is 52658181661. The next prime is 52658181689. The reversal of 52658181680 is 8618185625.

It is a happy number.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (52658181689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220327001 + ... + 220327239.

It is an arithmetic number, because the mean of its divisors is an integer number (441721728).

Almost surely, 2^52658181680 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 52658181680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70675476480).

52658181680 is an abundant number, since it is smaller than the sum of its proper divisors (88692771280).

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

52658181680 is a wasteful number, since it uses less digits than its factorization.

52658181680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 50.

The spelling of 52658181680 in words is "fifty-two billion, six hundred fifty-eight million, one hundred eighty-one thousand, six hundred eighty".