5738881259520 has 1920 divisors, whose sum is σ = 23700041164800. Its totient is φ = 1318610534400.

The previous prime is 5738881259509. The next prime is 5738881259521. The reversal of 5738881259520 is 259521888375.

5738881259520 is a `hidden beast` number, since 5 + 7 + 3 + 8 + 8 + 8 + 12 + 595 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×5738881259520² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5738881259521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8305182375 + ... + 8305183065.

It is an arithmetic number, because the mean of its divisors is an integer number (12343771440).

Almost surely, 2^{5738881259520} 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 5738881259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850020582400).

5738881259520 is an abundant number, since it is smaller than the sum of its proper divisors (17961159905280).

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

5738881259520 is a wasteful number, since it uses less digits than its factorization.

5738881259520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 5738881259520 in words is "five trillion, seven hundred thirty-eight billion, eight hundred eighty-one million, two hundred fifty-nine thousand, five hundred twenty".