10255644000 has 288 divisors, whose sum is σ = 41597914176. Its totient is φ = 2344089600.

The previous prime is 10255643999. The next prime is 10255644031. The reversal of 10255644000 is 44655201.

10255644000 is a `hidden beast` number, since 1 + 0 + 255 + 6 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231652 + ... + 272348.

It is an arithmetic number, because the mean of its divisors is an integer number (144437202).

Almost surely, 2^10255644000 is an apocalyptic number.

10255644000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10255644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20798957088).

10255644000 is an abundant number, since it is smaller than the sum of its proper divisors (31342270176).

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

10255644000 is a wasteful number, since it uses less digits than its factorization.

10255644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40735 (or 40714 counting only the distinct ones).

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

The spelling of 10255644000 in words is "ten billion, two hundred fifty-five million, six hundred forty-four thousand".