10258864200 has 864 divisors, whose sum is σ = 41466330360. Its totient is φ = 2256076800.

The previous prime is 10258864177. The next prime is 10258864207. The reversal of 10258864200 is 246885201.

10258864200 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 8 + 8 + 642 + 0 + 0 = 666.

It can be written as a sum of positive squares in 36 ways, for example, as 2263285476 + 7995578724 = 47574^2 + 89418^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10258864207) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 250216180 + ... + 250216220.

Almost surely, 2^10258864200 is an apocalyptic number.

10258864200 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 10258864200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20733165180).

10258864200 is an abundant number, since it is smaller than the sum of its proper divisors (31207466160).

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

10258864200 is a wasteful number, since it uses less digits than its factorization.

10258864200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10258864200 in words is "ten billion, two hundred fifty-eight million, eight hundred sixty-four thousand, two hundred".