530052055200 has 288 divisors, whose sum is σ = 1919519017920. Its totient is φ = 141163084800.

The previous prime is 530052055157. The next prime is 530052055207. The reversal of 530052055200 is 2550250035.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (530052055207) 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, 16983610 + ... + 17014790.

It is an arithmetic number, because the mean of its divisors is an integer number (6664996590).

Almost surely, 2^530052055200 is an apocalyptic number.

530052055200 is a gapful number since it is divisible by the number (50) 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 530052055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959759508960).

530052055200 is an abundant number, since it is smaller than the sum of its proper divisors (1389466962720).

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

530052055200 is a wasteful number, since it uses less digits than its factorization.

530052055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31997 (or 31978 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The spelling of 530052055200 in words is "five hundred thirty billion, fifty-two million, fifty-five thousand, two hundred".