5214412800 has 672 divisors, whose sum is σ = 20477439360. Its totient is φ = 1297612800.

The previous prime is 5214412789. The next prime is 5214412817. The reversal of 5214412800 is 82144125.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127180780 + ... + 127180820.

It is an arithmetic number, because the mean of its divisors is an integer number (30472380).

Almost surely, 2^5214412800 is an apocalyptic number.

5214412800 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 5214412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10238719680).

5214412800 is an abundant number, since it is smaller than the sum of its proper divisors (15263026560).

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

5214412800 is a wasteful number, since it uses less digits than its factorization.

5214412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5214412800 is about 72210.8911453113. The cubic root of 5214412800 is about 1734.0773663114.

Adding to 5214412800 its reverse (82144125), we get a palindrome (5296556925).

The spelling of 5214412800 in words is "five billion, two hundred fourteen million, four hundred twelve thousand, eight hundred".