5022267554304 has 2160 divisors, whose sum is σ = 20458379829888. Its totient is φ = 1153983283200.

The previous prime is 5022267554261. The next prime is 5022267554321. The reversal of 5022267554304 is 4034557622205.

5022267554304 is a `hidden beast` number, since 5 + 0 + 2 + 2 + 2 + 67 + 554 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5022267554304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 48759879117 + ... + 48759879219.

Almost surely, 2^{5022267554304} 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 5022267554304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10229189914944).

5022267554304 is an abundant number, since it is smaller than the sum of its proper divisors (15436112275584).

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

5022267554304 is a wasteful number, since it uses less digits than its factorization.

5022267554304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 5022267554304 in words is "five trillion, twenty-two billion, two hundred sixty-seven million, five hundred fifty-four thousand, three hundred four".