53229268224 has 216 divisors, whose sum is σ = 167658053472. Its totient is φ = 16107663360.

The previous prime is 53229268217. The next prime is 53229268229. The reversal of 53229268224 is 42286292235.

53229268224 is a `hidden beast` number, since 532 + 2 + 92 + 6 + 8 + 2 + 24 = 666.

It is a super-2 number, since 2×53229268224² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53229268224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53229268229) 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, 32515534 + ... + 32517170.

It is an arithmetic number, because the mean of its divisors is an integer number (776194692).

Almost surely, 2^53229268224 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 53229268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83829026736).

53229268224 is an abundant number, since it is smaller than the sum of its proper divisors (114428785248).

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

53229268224 is a wasteful number, since it uses less digits than its factorization.

53229268224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2936 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 53229268224 in words is "fifty-three billion, two hundred twenty-nine million, two hundred sixty-eight thousand, two hundred twenty-four".