5980364800 has 84 divisors (see below), whose sum is σ = 14830907346. Its totient is φ = 2392064000.

The previous prime is 5980364791. The next prime is 5980364807. The reversal of 5980364800 is 84630895.

It can be written as a sum of positive squares in 3 ways, for example, as 3909750784 + 2070614016 = 62528^2 + 45504^2 .

It is not an unprimeable number, because it can be changed into a prime (5980364807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 190200 + ... + 219400.

Almost surely, 2^5980364800 is an apocalyptic number.

5980364800 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 5980364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7415453673).

5980364800 is an abundant number, since it is smaller than the sum of its proper divisors (8850542546).

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

5980364800 is an equidigital number, since it uses as much as digits as its factorization.

5980364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29237 (or 29208 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 5980364800 is about 77332.8183890902. The cubic root of 5980364800 is about 1815.1362307214.

The spelling of 5980364800 in words is "five billion, nine hundred eighty million, three hundred sixty-four thousand, eight hundred".