5417216496 has 320 divisors, whose sum is σ = 16867491840. Its totient is φ = 1681295616.

The previous prime is 5417216477. The next prime is 5417216533. The reversal of 5417216496 is 6946127145.

5417216496 is a `hidden beast` number, since 541 + 7 + 2 + 16 + 4 + 96 = 666.

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, 42655185 + ... + 42655311.

It is an arithmetic number, because the mean of its divisors is an integer number (52710912).

Almost surely, 2^5417216496 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 5417216496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8433745920).

5417216496 is an abundant number, since it is smaller than the sum of its proper divisors (11450275344).

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

5417216496 is a wasteful number, since it uses less digits than its factorization.

5417216496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 208 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 5417216496 is about 73601.7424793734. The cubic root of 5417216496 is about 1756.2731590079.

The spelling of 5417216496 in words is "five billion, four hundred seventeen million, two hundred sixteen thousand, four hundred ninety-six".