252255520455552 has 192 divisors, whose sum is σ = 726342526728000. Its totient is φ = 84032950087680.

The previous prime is 252255520455541. The next prime is 252255520455569. The reversal of 252255520455552 is 255554025552252.

It is a happy number.

252255520455552 is a `hidden beast` number, since 2 + 5 + 2 + 25 + 5 + 5 + 20 + 45 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16189936402 + ... + 16189951982.

It is an arithmetic number, because the mean of its divisors is an integer number (3783033993375).

Almost surely, 2^{252255520455552} 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 252255520455552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363171263364000).

252255520455552 is an abundant number, since it is smaller than the sum of its proper divisors (474087006272448).

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

252255520455552 is a wasteful number, since it uses less digits than its factorization.

252255520455552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23429 (or 23414 counting only the distinct ones).

The product of its (nonzero) digits is 50000000, while the sum is 54.

The spelling of 252255520455552 in words is "two hundred fifty-two trillion, two hundred fifty-five billion, five hundred twenty million, four hundred fifty-five thousand, five hundred fifty-two".