5190220800 has 330 divisors, whose sum is σ = 19226455688. Its totient is φ = 1383505920.

The previous prime is 5190220759. The next prime is 5190220811. The reversal of 5190220800 is 80220915.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2072349 + ... + 2074851.

Almost surely, 2^5190220800 is an apocalyptic number.

5190220800 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 5190220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9613227844).

5190220800 is an abundant number, since it is smaller than the sum of its proper divisors (14036234888).

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

5190220800 is a wasteful number, since it uses less digits than its factorization.

5190220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5190220800 is about 72043.1870477702. The cubic root of 5190220800 is about 1731.3914874352.

The spelling of 5190220800 in words is "five billion, one hundred ninety million, two hundred twenty thousand, eight hundred".