52838352000 has 1024 divisors, whose sum is σ = 225924940800. Its totient is φ = 11888640000.

The previous prime is 52838351999. The next prime is 52838352023. The reversal of 52838352000 is 25383825.

52838352000 is a `hidden beast` number, since 52 + 8 + 3 + 83 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 305423914 + ... + 305424086.

It is an arithmetic number, because the mean of its divisors is an integer number (220629825).

Almost surely, 2^52838352000 is an apocalyptic number.

52838352000 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 52838352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112962470400).

52838352000 is an abundant number, since it is smaller than the sum of its proper divisors (173086588800).

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

52838352000 is a wasteful number, since it uses less digits than its factorization.

52838352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 52838352000 in words is "fifty-two billion, eight hundred thirty-eight million, three hundred fifty-two thousand".