5381689600 has 243 divisors, whose sum is σ = 15614489541. Its totient is φ = 1831065600.

The previous prime is 5381689597. The next prime is 5381689601. The reversal of 5381689600 is 69861835.

The square root of 5381689600 is 73360.

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

It can be written as a sum of positive squares in only one way, i.e., 1937408256 + 3444281344 = 44016^2 + 58688^2 .

It is not an unprimeable number, because it can be changed into a prime (5381689601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41081535 + ... + 41081665.

Almost surely, 2^5381689600 is an apocalyptic number.

5381689600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5381689600 is the 73360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5381689600

5381689600 is an abundant number, since it is smaller than the sum of its proper divisors (10232799941).

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

5381689600 is an equidigital number, since it uses as much as digits as its factorization.

5381689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The cubic root of 5381689600 is about 1752.4254368790.

It can be divided in two parts, 53816 and 89600, that multiplied together give a square (4821913600 = 69440²).

The spelling of 5381689600 in words is "five billion, three hundred eighty-one million, six hundred eighty-nine thousand, six hundred".