5416412560 has 80 divisors (see below), whose sum is σ = 13631221296. Its totient is φ = 1989679104.

The previous prime is 5416412557. The next prime is 5416412567. The reversal of 5416412560 is 652146145.

It can be written as a sum of positive squares in 8 ways, for example, as 299013264 + 5117399296 = 17292^2 + 71536^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5416412567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191662 + ... + 218098.

Almost surely, 2^5416412560 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 5416412560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815610648).

5416412560 is an abundant number, since it is smaller than the sum of its proper divisors (8214808736).

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

5416412560 is a wasteful number, since it uses less digits than its factorization.

5416412560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26660 (or 26654 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 5416412560 is about 73596.2808842947. The cubic root of 5416412560 is about 1756.1862754536.

The spelling of 5416412560 in words is "five billion, four hundred sixteen million, four hundred twelve thousand, five hundred sixty".