5326080400 has 135 divisors (see below), whose sum is σ = 13264637833. Its totient is φ = 2055116800.

The previous prime is 5326080367. The next prime is 5326080439. The reversal of 5326080400 is 40806235.

The square root of 5326080400 is 72980.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4993966224 + 332114176 = 70668^2 + 18224^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59843556 + ... + 59843644.

Almost surely, 2^5326080400 is an apocalyptic number.

5326080400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5326080400 is the 72980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5326080400

5326080400 is an abundant number, since it is smaller than the sum of its proper divisors (7938557433).

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

5326080400 is an equidigital number, since it uses as much as digits as its factorization.

5326080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The cubic root of 5326080400 is about 1746.3685675707.

Adding to 5326080400 its reverse (40806235), we get a palindrome (5366886635).

The spelling of 5326080400 in words is "five billion, three hundred twenty-six million, eighty thousand, four hundred".