10255867200 has 252 divisors, whose sum is σ = 37438901500. Its totient is φ = 2660843520.

The previous prime is 10255867199. The next prime is 10255867217. The reversal of 10255867200 is 276855201.

It is a happy number.

10255867200 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 586 + 72 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 606341376 + 9649525824 = 24624^2 + 98232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 523176 + ... + 542424.

Almost surely, 2^10255867200 is an apocalyptic number.

10255867200 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 10255867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18719450750).

10255867200 is an abundant number, since it is smaller than the sum of its proper divisors (27183034300).

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

10255867200 is a wasteful number, since it uses less digits than its factorization.

10255867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19314 (or 19296 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 10255867200 in words is "ten billion, two hundred fifty-five million, eight hundred sixty-seven thousand, two hundred".