52261228118016 has 420 divisors, whose sum is σ = 158800048591800. Its totient is φ = 17123506126848.

The previous prime is 52261228117907. The next prime is 52261228118023. The reversal of 52261228118016 is 61081182216225.

52261228118016 is a `hidden beast` number, since 5 + 2 + 2 + 612 + 2 + 8 + 1 + 18 + 0 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5011139490 + ... + 5011149918.

It is an arithmetic number, because the mean of its divisors is an integer number (378095353790).

Almost surely, 2^{52261228118016} 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 52261228118016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79400024295900).

52261228118016 is an abundant number, since it is smaller than the sum of its proper divisors (106538820473784).

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

52261228118016 is an frugal number, since it uses more digits than its factorization.

52261228118016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10540 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 52261228118016 in words is "fifty-two trillion, two hundred sixty-one billion, two hundred twenty-eight million, one hundred eighteen thousand, sixteen".