53112114624 has 112 divisors (see below), whose sum is σ = 143657653248. Its totient is φ = 17310225408.

The previous prime is 53112114623. The next prime is 53112114689. The reversal of 53112114624 is 42641121135.

53112114624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×53112114624² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53112114591 and 53112114600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53112114623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11756014 + ... + 11760530.

Almost surely, 2^53112114624 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 53112114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71828826624).

53112114624 is an abundant number, since it is smaller than the sum of its proper divisors (90545538624).

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

53112114624 is a wasteful number, since it uses less digits than its factorization.

53112114624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882 (or 5872 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

Adding to 53112114624 its reverse (42641121135), we get a palindrome (95753235759).

The spelling of 53112114624 in words is "fifty-three billion, one hundred twelve million, one hundred fourteen thousand, six hundred twenty-four".