10258865712 has 240 divisors, whose sum is σ = 30518332416. Its totient is φ = 3212352000.

The previous prime is 10258865693. The next prime is 10258865723. The reversal of 10258865712 is 21756885201.

10258865712 is a `hidden beast` number, since 1 + 0 + 2 + 588 + 6 + 57 + 12 = 666.

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, 30993387 + ... + 30993717.

Almost surely, 2^10258865712 is an apocalyptic number.

10258865712 is a gapful number since it is divisible by the number (12) 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 10258865712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15259166208).

10258865712 is an abundant number, since it is smaller than the sum of its proper divisors (20259466704).

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

10258865712 is a wasteful number, since it uses less digits than its factorization.

10258865712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 10258865712 in words is "ten billion, two hundred fifty-eight million, eight hundred sixty-five thousand, seven hundred twelve".