52788766800 has 720 divisors, whose sum is σ = 214382278656. Its totient is φ = 10868352000.

The previous prime is 52788766781. The next prime is 52788766801. The reversal of 52788766800 is 866788725.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52788766801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 169738645 + ... + 169738955.

Almost surely, 2^52788766800 is an apocalyptic number.

52788766800 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 52788766800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107191139328).

52788766800 is an abundant number, since it is smaller than the sum of its proper divisors (161593511856).

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

52788766800 is a wasteful number, since it uses less digits than its factorization.

52788766800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 52788766800 in words is "fifty-two billion, seven hundred eighty-eight million, seven hundred sixty-six thousand, eight hundred".