52705002240 has 720 divisors, whose sum is σ = 211462020000. Its totient is φ = 12421693440.

The previous prime is 52705002227. The next prime is 52705002281. The reversal of 52705002240 is 4220050725.

52705002240 is a `hidden beast` number, since 52 + 70 + 500 + 2 + 2 + 40 = 666.

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

It is a super-2 number, since 2×52705002240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 42197136 + ... + 42198384.

It is an arithmetic number, because the mean of its divisors is an integer number (293697250).

Almost surely, 2^52705002240 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 52705002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105731010000).

52705002240 is an abundant number, since it is smaller than the sum of its proper divisors (158757017760).

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

52705002240 is a wasteful number, since it uses less digits than its factorization.

52705002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

Adding to 52705002240 its reverse (4220050725), we get a palindrome (56925052965).

The spelling of 52705002240 in words is "fifty-two billion, seven hundred five million, two thousand, two hundred forty".