52543782400 has 120 divisors (see below), whose sum is σ = 130456119024. Its totient is φ = 20973158400.

The previous prime is 52543782373. The next prime is 52543782407. The reversal of 52543782400 is 428734525.

52543782400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52543782407) 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, 6434320 + ... + 6442480.

Almost surely, 2^52543782400 is an apocalyptic number.

52543782400 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 52543782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65228059512).

52543782400 is an abundant number, since it is smaller than the sum of its proper divisors (77912336624).

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

52543782400 is an equidigital number, since it uses as much as digits as its factorization.

52543782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8692 (or 8671 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 52543782400 in words is "fifty-two billion, five hundred forty-three million, seven hundred eighty-two thousand, four hundred".