5168531531520 has 2304 divisors, whose sum is σ = 23431782850560. Its totient is φ = 1051066368000.

The previous prime is 5168531531491. The next prime is 5168531531549. The reversal of 5168531531520 is 251351358615.

5168531531520 is a `hidden beast` number, since 5 + 1 + 6 + 85 + 3 + 15 + 31 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (5168531531491) and next prime (5168531531549).

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 (45).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 9553662450 + ... + 9553662990.

It is an arithmetic number, because the mean of its divisors is an integer number (10170044640).

Almost surely, 2^{5168531531520} 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 5168531531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11715891425280).

5168531531520 is an abundant number, since it is smaller than the sum of its proper divisors (18263251319040).

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

5168531531520 is a wasteful number, since it uses less digits than its factorization.

5168531531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 5168531531520 in words is "five trillion, one hundred sixty-eight billion, five hundred thirty-one million, five hundred thirty-one thousand, five hundred twenty".