5803184640400 has 135 divisors (see below), whose sum is σ = 16219363268289. Its totient is φ = 1989547674240.

The previous prime is 5803184640377. The next prime is 5803184640457. The reversal of 5803184640400 is 40464813085.

The square root of 5803184640400 is 2408980.

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., 2089146470544 + 3714038169856 = 1445388^2 + 1927184^2 .

It is a super-3 number, since 3×5803184640400³ (a number of 39 digits) contains 333 as substring.

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, 337248597 + ... + 337265803.

Almost surely, 2^{5803184640400} is an apocalyptic number.

5803184640400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5803184640400 is the 2408980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5803184640400

5803184640400 is an abundant number, since it is smaller than the sum of its proper divisors (10416178627889).

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

5803184640400 is an frugal number, since it uses more digits than its factorization.

5803184640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34446 (or 17221 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 5803184640400 in words is "five trillion, eight hundred three billion, one hundred eighty-four million, six hundred forty thousand, four hundred".