52004659200 has 672 divisors, whose sum is σ = 196583417856. Its totient is φ = 12016680960.

The previous prime is 52004659171. The next prime is 52004659229. The reversal of 52004659200 is 295640025.

It is an interprime number because it is at equal distance from previous prime (52004659171) and next prime (52004659229).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135782209 + ... + 135782591.

It is an arithmetic number, because the mean of its divisors is an integer number (292534848).

Almost surely, 2^52004659200 is an apocalyptic number.

52004659200 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 52004659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98291708928).

52004659200 is an abundant number, since it is smaller than the sum of its proper divisors (144578758656).

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

52004659200 is a wasteful number, since it uses less digits than its factorization.

52004659200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 52004659200 in words is "fifty-two billion, four million, six hundred fifty-nine thousand, two hundred".