5703728509504 has 63 divisors (see below), whose sum is σ = 11360156938137. Its totient is φ = 2841365516544.

The previous prime is 5703728509481. The next prime is 5703728509513. The reversal of 5703728509504 is 4059058273075.

The square root of 5703728509504 is 2388248.

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., 18594049600 + 5685134459904 = 136360^2 + 2384352^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9304613902 + ... + 9304614514.

It is an arithmetic number, because the mean of its divisors is an integer number (180319951399).

Almost surely, 2^{5703728509504} is an apocalyptic number.

5703728509504 is the 2388248-th square number.

It is an amenable number.

5703728509504 is a deficient number, since it is larger than the sum of its proper divisors (5656428428633).

5703728509504 is an frugal number, since it uses more digits than its factorization.

5703728509504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 55.

The spelling of 5703728509504 in words is "five trillion, seven hundred three billion, seven hundred twenty-eight million, five hundred nine thousand, five hundred four".