52222568590080 has 2304 divisors, whose sum is σ = 224166297600000. Its totient is φ = 11500023693312.

The previous prime is 52222568590063. The next prime is 52222568590091. The reversal of 52222568590080 is 8009586522225.

52222568590080 is a `hidden beast` number, since 5 + 2 + 2 + 22 + 568 + 59 + 0 + 0 + 8 + 0 = 666.

52222568590080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×52222568590080² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 52222568589999 and 52222568590026.

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 255 ways as a sum of consecutive naturals, for example, 37328497221 + ... + 37328498619.

It is an arithmetic number, because the mean of its divisors is an integer number (97294400000).

Almost surely, 2^{52222568590080} 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 52222568590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112083148800000).

52222568590080 is an abundant number, since it is smaller than the sum of its proper divisors (171943729009920).

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

52222568590080 is a wasteful number, since it uses less digits than its factorization.

52222568590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 52222568590080 in words is "fifty-two trillion, two hundred twenty-two billion, five hundred sixty-eight million, five hundred ninety thousand, eighty".