10256255312550 has 192 divisors, whose sum is σ = 27732316018176. Its totient is φ = 2493417830400.

The previous prime is 10256255312549. The next prime is 10256255312551. The reversal of 10256255312550 is 5521355265201.

10256255312550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10256255312549) and next prime (10256255312551).

It is a super-3 number, since 3×10256255312550³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10256255312551) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62276815 + ... + 62441285.

It is an arithmetic number, because the mean of its divisors is an integer number (144439145928).

Almost surely, 2^{10256255312550} is an apocalyptic number.

10256255312550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10256255312550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13866158009088).

10256255312550 is an abundant number, since it is smaller than the sum of its proper divisors (17476060705626).

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

10256255312550 is a wasteful number, since it uses less digits than its factorization.

10256255312550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164895 (or 164890 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 42.

The spelling of 10256255312550 in words is "ten trillion, two hundred fifty-six billion, two hundred fifty-five million, three hundred twelve thousand, five hundred fifty".