10250242560000 has 1755 divisors, whose sum is σ = 40056647479849. Its totient is φ = 2524397568000.

The previous prime is 10250242559981. The next prime is 10250242560001. The reversal of 10250242560000 is 6524205201.

The square root of 10250242560000 is 3201600.

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

10250242560000 is a `hidden beast` number, since 1 + 0 + 2 + 50 + 2 + 4 + 2 + 5 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 7666430644224 + 2583811915776 = 2768832^2 + 1607424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10250242560001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 353456639986 + ... + 353456640014.

Almost surely, 2^{10250242560000} is an apocalyptic number.

10250242560000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10250242560000 is the 3201600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10250242560000

10250242560000 is an abundant number, since it is smaller than the sum of its proper divisors (29806404919849).

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

10250242560000 is an frugal number, since it uses more digits than its factorization.

10250242560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10250242560000 its reverse (6524205201), we get a palindrome (10256766765201).

The spelling of 10250242560000 in words is "ten trillion, two hundred fifty billion, two hundred forty-two million, five hundred sixty thousand".