53039852800 has 324 divisors, whose sum is σ = 151223508576. Its totient is φ = 18263347200.

The previous prime is 53039852791. The next prime is 53039852837. The reversal of 53039852800 is 825893035.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 25413357 + ... + 25415443.

It is an arithmetic number, because the mean of its divisors is an integer number (466739224).

Almost surely, 2^53039852800 is an apocalyptic number.

53039852800 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 53039852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75611754288).

53039852800 is an abundant number, since it is smaller than the sum of its proper divisors (98183655776).

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

53039852800 is a wasteful number, since it uses less digits than its factorization.

53039852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 53039852800 in words is "fifty-three billion, thirty-nine million, eight hundred fifty-two thousand, eight hundred".