10255125282624 has 224 divisors, whose sum is σ = 31699120020480. Its totient is φ = 3244788518400.

The previous prime is 10255125282607. The next prime is 10255125282643. The reversal of 10255125282624 is 42628252155201.

10255125282624 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 5 + 12 + 5 + 2 + 8 + 2 + 624 = 666.

10255125282624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10255125282624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4221619 + ... + 6191309.

Almost surely, 2^{10255125282624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10255125282624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15849560010240).

10255125282624 is an abundant number, since it is smaller than the sum of its proper divisors (21443994737856).

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

10255125282624 is a wasteful number, since it uses less digits than its factorization.

10255125282624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969866 (or 1969850 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 10255125282624 in words is "ten trillion, two hundred fifty-five billion, one hundred twenty-five million, two hundred eighty-two thousand, six hundred twenty-four".