10255859712 has 456 divisors, whose sum is σ = 36641369856. Its totient is φ = 2802843648.

The previous prime is 10255859701. The next prime is 10255859723. The reversal of 10255859712 is 21795855201.

10255859712 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 58 + 597 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10255859701) and next prime (10255859723).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445906933 + ... + 445906955.

Almost surely, 2^10255859712 is an apocalyptic number.

10255859712 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 10255859712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18320684928).

10255859712 is an abundant number, since it is smaller than the sum of its proper divisors (26385510144).

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

10255859712 is an frugal number, since it uses more digits than its factorization.

10255859712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 10255859712 in words is "ten billion, two hundred fifty-five million, eight hundred fifty-nine thousand, seven hundred twelve".