5413716000 has 1440 divisors, whose sum is σ = 26028946944. Its totient is φ = 1088640000.

The previous prime is 5413715981. The next prime is 5413716019. The reversal of 5413716000 is 6173145.

5413716000 is a `hidden beast` number, since 54 + 1 + 3 + 7 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5413715981) and next prime (5413716019).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 174635985 + ... + 174636015.

Almost surely, 2^5413716000 is an apocalyptic number.

5413716000 is a gapful number since it is divisible by the number (50) 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 5413716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13014473472).

5413716000 is an abundant number, since it is smaller than the sum of its proper divisors (20615230944).

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

5413716000 is a wasteful number, since it uses less digits than its factorization.

5413716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5413716000 is about 73577.9586561084. The cubic root of 5413716000 is about 1755.8947880709.

Adding to 5413716000 its reverse (6173145), we get a palindrome (5419889145).

The spelling of 5413716000 in words is "five billion, four hundred thirteen million, seven hundred sixteen thousand".