5586791616 has 672 divisors, whose sum is σ = 20798901760. Its totient is φ = 1451188224.

The previous prime is 5586791531. The next prime is 5586791627. The reversal of 5586791616 is 6161976855.

5586791616 is a `hidden beast` number, since 558 + 6 + 79 + 1 + 6 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76531356 + ... + 76531428.

Almost surely, 2^5586791616 is an apocalyptic number.

5586791616 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 5586791616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10399450880).

5586791616 is an abundant number, since it is smaller than the sum of its proper divisors (15212110144).

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

5586791616 is a wasteful number, since it uses less digits than its factorization.

5586791616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 5586791616 is about 74744.8434074218. The cubic root of 5586791616 is about 1774.4107404321.

The spelling of 5586791616 in words is "five billion, five hundred eighty-six million, seven hundred ninety-one thousand, six hundred sixteen".