52705949184 has 960 divisors, whose sum is σ = 201522816000. Its totient is φ = 13488685056.

The previous prime is 52705949183. The next prime is 52705949227. The reversal of 52705949184 is 48194950725.

It is a happy number.

52705949184 is a `hidden beast` number, since 5 + 2 + 70 + 5 + 9 + 491 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 52705949184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52705949183) 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 95 ways as a sum of consecutive naturals, for example, 264853917 + ... + 264854115.

It is an arithmetic number, because the mean of its divisors is an integer number (209919600).

Almost surely, 2^52705949184 is an apocalyptic number.

52705949184 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52705949184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100761408000).

52705949184 is an abundant number, since it is smaller than the sum of its proper divisors (148816866816).

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

52705949184 is a wasteful number, since it uses less digits than its factorization.

52705949184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 52705949184 in words is "fifty-two billion, seven hundred five million, nine hundred forty-nine thousand, one hundred eighty-four".