53844384000 has 288 divisors, whose sum is σ = 195106504320. Its totient is φ = 13052928000.

The previous prime is 53844383981. The next prime is 53844384049. The reversal of 53844384000 is 48344835.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 53844384000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030506 + ... + 1081494.

It is an arithmetic number, because the mean of its divisors is an integer number (677453140).

Almost surely, 2^53844384000 is an apocalyptic number.

53844384000 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 53844384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97553252160).

53844384000 is an abundant number, since it is smaller than the sum of its proper divisors (141262120320).

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

53844384000 is a wasteful number, since it uses less digits than its factorization.

53844384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51034 (or 51010 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 53844384000 in words is "fifty-three billion, eight hundred forty-four million, three hundred eighty-four thousand".