5409693216 has 192 divisors, whose sum is σ = 16916376960. Its totient is φ = 1696785408.

The previous prime is 5409693209. The next prime is 5409693269. The reversal of 5409693216 is 6123969045.

5409693216 is a `hidden beast` number, since 540 + 9 + 6 + 93 + 2 + 16 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1187455 + ... + 1192001.

It is an arithmetic number, because the mean of its divisors is an integer number (88106130).

Almost surely, 2^5409693216 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 5409693216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8458188480).

5409693216 is an abundant number, since it is smaller than the sum of its proper divisors (11506683744).

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

5409693216 is an equidigital number, since it uses as much as digits as its factorization.

5409693216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4569 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 5409693216 is about 73550.6166935397. The cubic root of 5409693216 is about 1755.4597612016.

The spelling of 5409693216 in words is "five billion, four hundred nine million, six hundred ninety-three thousand, two hundred sixteen".