52558615200 has 864 divisors, whose sum is σ = 221430827520. Its totient is φ = 10721894400.

The previous prime is 52558615103. The next prime is 52558615201. The reversal of 52558615200 is 251685525.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (52558615201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 47392246 + ... + 47393354.

It is an arithmetic number, because the mean of its divisors is an integer number (256285680).

Almost surely, 2^52558615200 is an apocalyptic number.

52558615200 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 52558615200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110715413760).

52558615200 is an abundant number, since it is smaller than the sum of its proper divisors (168872212320).

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

52558615200 is a wasteful number, since it uses less digits than its factorization.

52558615200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

The spelling of 52558615200 in words is "fifty-two billion, five hundred fifty-eight million, six hundred fifteen thousand, two hundred".