5412680800 has 72 divisors (see below), whose sum is σ = 13269463200. Its totient is φ = 2155937280.

The previous prime is 5412680773. The next prime is 5412680807. The reversal of 5412680800 is 80862145.

It is a super-2 number, since 2×5412680800² = 58594226885377280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5412680807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177046 + ... + 205354.

It is an arithmetic number, because the mean of its divisors is an integer number (184298100).

Almost surely, 2^5412680800 is an apocalyptic number.

5412680800 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 5412680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6634731600).

5412680800 is an abundant number, since it is smaller than the sum of its proper divisors (7856782400).

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

5412680800 is a wasteful number, since it uses less digits than its factorization.

5412680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28568 (or 28555 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 5412680800 is about 73570.9236043697. The cubic root of 5412680800 is about 1755.7828613674.

The spelling of 5412680800 in words is "five billion, four hundred twelve million, six hundred eighty thousand, eight hundred".