52005233640 has 128 divisors (see below), whose sum is σ = 166206297600. Its totient is φ = 12979825920.

The previous prime is 52005233633. The next prime is 52005233689. The reversal of 52005233640 is 4633250025.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 52005233598 and 52005233607.

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 31 ways as a sum of consecutive naturals, for example, 51835 + ... + 326645.

It is an arithmetic number, because the mean of its divisors is an integer number (1298486700).

Almost surely, 2^52005233640 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 52005233640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83103148800).

52005233640 is an abundant number, since it is smaller than the sum of its proper divisors (114201063960).

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

52005233640 is a wasteful number, since it uses less digits than its factorization.

52005233640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274927 (or 274923 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 52005233640 its reverse (4633250025), we get a palindrome (56638483665).

The spelling of 52005233640 in words is "fifty-two billion, five million, two hundred thirty-three thousand, six hundred forty".