52202608224 has 384 divisors, whose sum is σ = 163870801920. Its totient is φ = 14403225600.

The previous prime is 52202608147. The next prime is 52202608247. The reversal of 52202608224 is 42280620225.

It is a super-2 number, since 2×52202608224² (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 63 ways as a sum of consecutive naturals, for example, 34547629 + ... + 34549139.

It is an arithmetic number, because the mean of its divisors is an integer number (426746880).

Almost surely, 2^52202608224 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 52202608224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81935400960).

52202608224 is an abundant number, since it is smaller than the sum of its proper divisors (111668193696).

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

52202608224 is a wasteful number, since it uses less digits than its factorization.

52202608224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 52202608224 in words is "fifty-two billion, two hundred two million, six hundred eight thousand, two hundred twenty-four".