5223138197760 has 2304 divisors, whose sum is σ = 23111356907520. Its totient is φ = 1090919301120.

The previous prime is 5223138197713. The next prime is 5223138197789. The reversal of 5223138197760 is 677918313225.

5223138197760 is a `hidden beast` number, since 522 + 3 + 1 + 38 + 19 + 7 + 76 + 0 = 666.

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

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 = 5223138197697 and 5223138197706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18456318579 + ... + 18456318861.

It is an arithmetic number, because the mean of its divisors is an integer number (10030970880).

Almost surely, 2^{5223138197760} 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 5223138197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11555678453760).

5223138197760 is an abundant number, since it is smaller than the sum of its proper divisors (17888218709760).

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

5223138197760 is a wasteful number, since it uses less digits than its factorization.

5223138197760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 5223138197760 in words is "five trillion, two hundred twenty-three billion, one hundred thirty-eight million, one hundred ninety-seven thousand, seven hundred sixty".