53584201344 has 128 divisors (see below), whose sum is σ = 147129108480. Its totient is φ = 17261153280.

The previous prime is 53584201339. The next prime is 53584201361. The reversal of 53584201344 is 44310248535.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×53584201344³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9841887 + ... + 9847329.

It is an arithmetic number, because the mean of its divisors is an integer number (1149446160).

Almost surely, 2^53584201344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53584201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73564554240).

53584201344 is an abundant number, since it is smaller than the sum of its proper divisors (93544907136).

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

53584201344 is a wasteful number, since it uses less digits than its factorization.

53584201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6318 (or 6306 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 53584201344 its reverse (44310248535), we get a palindrome (97894449879).

The spelling of 53584201344 in words is "fifty-three billion, five hundred eighty-four million, two hundred one thousand, three hundred forty-four".