5481921600 has 189 divisors, whose sum is σ = 19515673567. Its totient is φ = 1459476480.

The previous prime is 5481921593. The next prime is 5481921659. The reversal of 5481921600 is 61291845.

The square root of 5481921600 is 74040.

It is a perfect power (a square), and thus also a powerful number.

5481921600 is a `hidden beast` number, since 5 + 48 + 1 + 9 + 2 + 1 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2581452864 + 2900468736 = 50808^2 + 53856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8884492 + ... + 8885108.

Almost surely, 2^5481921600 is an apocalyptic number.

5481921600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5481921600 is the 74040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5481921600

5481921600 is an abundant number, since it is smaller than the sum of its proper divisors (14033751967).

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

5481921600 is an equidigital number, since it uses as much as digits as its factorization.

5481921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The cubic root of 5481921600 is about 1763.2380129441.

Multiplying 5481921600 by its sum of digits (36), we get a square (197349177600 = 444240²).

5481921600 divided by its sum of digits (36) gives a square (152275600 = 12340²).

The spelling of 5481921600 in words is "five billion, four hundred eighty-one million, nine hundred twenty-one thousand, six hundred".