53114433120 has 288 divisors, whose sum is σ = 218049511680. Its totient is φ = 11501429760.

The previous prime is 53114433109. The next prime is 53114433137. The reversal of 53114433120 is 2133441135.

It is a happy number.

53114433120 is a `hidden beast` number, since 531 + 1 + 4 + 4 + 3 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×53114433120² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52855 + ... + 330185.

It is an arithmetic number, because the mean of its divisors is an integer number (757116360).

Almost surely, 2^53114433120 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 53114433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109024755840).

53114433120 is an abundant number, since it is smaller than the sum of its proper divisors (164935078560).

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

53114433120 is a wasteful number, since it uses less digits than its factorization.

53114433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277378 (or 277367 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 53114433120 its reverse (2133441135), we get a palindrome (55247874255).

The spelling of 53114433120 in words is "fifty-three billion, one hundred fourteen million, four hundred thirty-three thousand, one hundred twenty".