52404052440800 has 144 divisors (see below), whose sum is σ = 134671324233600. Its totient is φ = 19857389760000.

The previous prime is 52404052440793. The next prime is 52404052440809. The reversal of 52404052440800 is 804425040425.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52404052440809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353341061 + ... + 353489339.

It is an arithmetic number, because the mean of its divisors is an integer number (935217529400).

Almost surely, 2^{52404052440800} is an apocalyptic number.

52404052440800 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 52404052440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67335662116800).

52404052440800 is an abundant number, since it is smaller than the sum of its proper divisors (82267271792800).

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

52404052440800 is a wasteful number, since it uses less digits than its factorization.

52404052440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171569 (or 171556 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 38.

The spelling of 52404052440800 in words is "fifty-two trillion, four hundred four billion, fifty-two million, four hundred forty thousand, eight hundred".