5717416513536 has 1170 divisors, whose sum is σ = 21524296546962. Its totient is φ = 1507165470720.

The previous prime is 5717416513511. The next prime is 5717416513541. The reversal of 5717416513536 is 6353156147175.

5717416513536 is a `hidden beast` number, since 5 + 7 + 1 + 7 + 41 + 65 + 1 + 3 + 536 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 19914854400 + 5697501659136 = 141120^2 + 2386944^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2747436016 + ... + 2747438096.

Almost surely, 2^{5717416513536} is an apocalyptic number.

5717416513536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5717416513536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10762148273481).

5717416513536 is an abundant number, since it is smaller than the sum of its proper divisors (15806880033426).

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

5717416513536 is a wasteful number, since it uses less digits than its factorization.

5717416513536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2106 counting only the distinct ones).

The product of its digits is 7938000, while the sum is 54.

The spelling of 5717416513536 in words is "five trillion, seven hundred seventeen billion, four hundred sixteen million, five hundred thirteen thousand, five hundred thirty-six".