52222065649152 has 1920 divisors, whose sum is σ = 184811271321600. Its totient is φ = 12780967034880.

The previous prime is 52222065649147. The next prime is 52222065649177. The reversal of 52222065649152 is 25194656022225.

52222065649152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 52222065649095 and 52222065649104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 262422440349 + ... + 262422440547.

It is an arithmetic number, because the mean of its divisors is an integer number (96255870480).

Almost surely, 2^{52222065649152} 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 52222065649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92405635660800).

52222065649152 is an abundant number, since it is smaller than the sum of its proper divisors (132589205672448).

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

52222065649152 is a wasteful number, since it uses less digits than its factorization.

52222065649152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 52222065649152 in words is "fifty-two trillion, two hundred twenty-two billion, sixty-five million, six hundred forty-nine thousand, one hundred fifty-two".