5711715216480 has 1536 divisors, whose sum is σ = 23464738160640. Its totient is φ = 1135576350720.

The previous prime is 5711715216469. The next prime is 5711715216491. The reversal of 5711715216480 is 846125171175.

It is an interprime number because it is at equal distance from previous prime (5711715216469) and next prime (5711715216491).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 14913094369 + ... + 14913094751.

It is an arithmetic number, because the mean of its divisors is an integer number (15276522240).

Almost surely, 2^{5711715216480} is an apocalyptic number.

It is a pronic number, being equal to 2389919×2389920.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5711715216480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11732369080320).

5711715216480 is an abundant number, since it is smaller than the sum of its proper divisors (17753022944160).

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

5711715216480 is a wasteful number, since it uses less digits than its factorization.

5711715216480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 48.

The spelling of 5711715216480 in words is "five trillion, seven hundred eleven billion, seven hundred fifteen million, two hundred sixteen thousand, four hundred eighty".