5413216800 has 72 divisors (see below), whose sum is σ = 17620028496. Its totient is φ = 1443523840.

The previous prime is 5413216771. The next prime is 5413216801. The reversal of 5413216800 is 86123145.

It is a super-2 number, since 2×5413216800² = 58605832247604480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5413216801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1125354 + ... + 1130153.

It is an arithmetic number, because the mean of its divisors is an integer number (244722618).

Almost surely, 2^5413216800 is an apocalyptic number.

5413216800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5413216800 is an abundant number, since it is smaller than the sum of its proper divisors (12206811696).

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

5413216800 is a wasteful number, since it uses less digits than its factorization.

5413216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255530 (or 2255517 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5413216800 is about 73574.5662576410. The cubic root of 5413216800 is about 1755.8408159242.

Adding to 5413216800 its reverse (86123145), we get a palindrome (5499339945).

The spelling of 5413216800 in words is "five billion, four hundred thirteen million, two hundred sixteen thousand, eight hundred".