52800780800 has 120 divisors (see below), whose sum is σ = 132290779500. Its totient is φ = 20882554880.

The previous prime is 52800780793. The next prime is 52800780803. The reversal of 52800780800 is 808700825.

It can be written as a sum of positive squares in 6 ways, for example, as 4815249664 + 47985531136 = 69392^2 + 219056^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52800780803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1116026 + ... + 1162374.

Almost surely, 2^52800780800 is an apocalyptic number.

52800780800 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 52800780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66145389750).

52800780800 is an abundant number, since it is smaller than the sum of its proper divisors (79489998700).

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

52800780800 is an equidigital number, since it uses as much as digits as its factorization.

52800780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46466 (or 46445 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 38.

The spelling of 52800780800 in words is "fifty-two billion, eight hundred million, seven hundred eighty thousand, eight hundred".