24728739840000 has 2295 divisors, whose sum is σ = 106725931048737. Its totient is φ = 5499518976000.

The previous prime is 24728739839957. The next prime is 24728739840023. The reversal of 24728739840000 is 4893782742.

It is a happy number.

The square root of 24728739840000 is 4972800.

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

24728739840000 is a `hidden beast` number, since 2 + 4 + 72 + 87 + 3 + 98 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 8210563006464 + 16518176833536 = 2865408^2 + 4064256^2 .

It is a super-2 number, since 2×24728739840000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 668344319982 + ... + 668344320018.

Almost surely, 2^{24728739840000} is an apocalyptic number.

24728739840000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

24728739840000 is the 4972800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24728739840000

24728739840000 is an abundant number, since it is smaller than the sum of its proper divisors (81997191208737).

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

24728739840000 is an frugal number, since it uses more digits than its factorization.

24728739840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 24728739840000 in words is "twenty-four trillion, seven hundred twenty-eight billion, seven hundred thirty-nine million, eight hundred forty thousand".