52540924800 has 768 divisors, whose sum is σ = 215036236800. Its totient is φ = 10979573760.

The previous prime is 52540924739. The next prime is 52540924801. The reversal of 52540924800 is 842904525.

52540924800 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52540924801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119682981 + ... + 119683419.

It is an arithmetic number, because the mean of its divisors is an integer number (279995100).

Almost surely, 2^52540924800 is an apocalyptic number.

52540924800 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 52540924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107518118400).

52540924800 is an abundant number, since it is smaller than the sum of its proper divisors (162495312000).

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

52540924800 is a wasteful number, since it uses less digits than its factorization.

52540924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 52540924800 in words is "fifty-two billion, five hundred forty million, nine hundred twenty-four thousand, eight hundred".