5715916416 has 256 divisors, whose sum is σ = 19363680000. Its totient is φ = 1626034176.

The previous prime is 5715916391. The next prime is 5715916417. The reversal of 5715916416 is 6146195175.

5715916416 is a `hidden beast` number, since 57 + 1 + 591 + 6 + 4 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5715916417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8442670 + ... + 8443346.

It is an arithmetic number, because the mean of its divisors is an integer number (75639375).

Almost surely, 2^5715916416 is an apocalyptic number.

5715916416 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 5715916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9681840000).

5715916416 is an abundant number, since it is smaller than the sum of its proper divisors (13647763584).

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

5715916416 is a wasteful number, since it uses less digits than its factorization.

5715916416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1038 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 5715916416 is about 75603.6799104382. The cubic root of 5715916416 is about 1787.9771178550.

The spelling of 5715916416 in words is "five billion, seven hundred fifteen million, nine hundred sixteen thousand, four hundred sixteen".