52743820800 has 960 divisors, whose sum is σ = 203856238080. Its totient is φ = 11894784000.

The previous prime is 52743820783. The next prime is 52743820817. The reversal of 52743820800 is 802834725.

It is an interprime number because it is at equal distance from previous prime (52743820783) and next prime (52743820817).

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 592627156 + ... + 592627244.

It is an arithmetic number, because the mean of its divisors is an integer number (212350248).

Almost surely, 2^52743820800 is an apocalyptic number.

52743820800 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 52743820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101928119040).

52743820800 is an abundant number, since it is smaller than the sum of its proper divisors (151112417280).

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

52743820800 is a wasteful number, since it uses less digits than its factorization.

52743820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 52743820800 in words is "fifty-two billion, seven hundred forty-three million, eight hundred twenty thousand, eight hundred".