24800001601600 has 189 divisors, whose sum is σ = 63803843254263. Its totient is φ = 9486943319040.

The previous prime is 24800001601589. The next prime is 24800001601603. The reversal of 24800001601600 is 610610000842.

The square root of 24800001601600 is 4979960.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4537615708224 + 20262385893376 = 2130168^2 + 4501376^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24800001601603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4581560494 + ... + 4581565906.

Almost surely, 2^{24800001601600} is an apocalyptic number.

24800001601600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

24800001601600 is the 4979960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24800001601600

24800001601600 is an abundant number, since it is smaller than the sum of its proper divisors (39003841652663).

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

24800001601600 is an frugal number, since it uses more digits than its factorization.

24800001601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10894 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 24800001601600 in words is "twenty-four trillion, eight hundred billion, one million, six hundred one thousand, six hundred".