10804500480400 has 405 divisors, whose sum is σ = 29094817189473. Its totient is φ = 3852913363200.

The previous prime is 10804500480383. The next prime is 10804500480409. The reversal of 10804500480400 is 408400540801.

The square root of 10804500480400 is 3287020.

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., 3889620172944 + 6914880307456 = 1972212^2 + 2629616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10804500480409) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 48450674689 + ... + 48450674911.

Almost surely, 2^{10804500480400} is an apocalyptic number.

10804500480400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10804500480400 is the 3287020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10804500480400

10804500480400 is an abundant number, since it is smaller than the sum of its proper divisors (18290316709073).

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

10804500480400 is an equidigital number, since it uses as much as digits as its factorization.

10804500480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The spelling of 10804500480400 in words is "ten trillion, eight hundred four billion, five hundred million, four hundred eighty thousand, four hundred".