5413689216 has 512 divisors, whose sum is σ = 18643968000. Its totient is φ = 1541928960.

The previous prime is 5413689191. The next prime is 5413689221. The reversal of 5413689216 is 6129863145.

5413689216 is a `hidden beast` number, since 541 + 3 + 6 + 8 + 92 + 16 = 666.

Its product of digits (311040) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174635121 + ... + 174635151.

It is an arithmetic number, because the mean of its divisors is an integer number (36414000).

Almost surely, 2^5413689216 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 5413689216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9321984000).

5413689216 is an abundant number, since it is smaller than the sum of its proper divisors (13230278784).

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

5413689216 is a wasteful number, since it uses less digits than its factorization.

5413689216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 72 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 5413689216 is about 73577.7766448538. The cubic root of 5413689216 is about 1755.8918923419.

The spelling of 5413689216 in words is "five billion, four hundred thirteen million, six hundred eighty-nine thousand, two hundred sixteen".