5416320000 has 880 divisors, whose sum is σ = 22919063552. Its totient is φ = 1105920000.

The previous prime is 5416319959. The next prime is 5416320017. The reversal of 5416320000 is 236145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 174719985 + ... + 174720015.

Almost surely, 2^5416320000 is an apocalyptic number.

5416320000 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 5416320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11459531776).

5416320000 is an abundant number, since it is smaller than the sum of its proper divisors (17502743552).

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

5416320000 is a wasteful number, since it uses less digits than its factorization.

5416320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5416320000 is about 73595.6520454843. The cubic root of 5416320000 is about 1756.1762716903.

Adding to 5416320000 its reverse (236145), we get a palindrome (5416556145).

The spelling of 5416320000 in words is "five billion, four hundred sixteen million, three hundred twenty thousand".