10287885312 has 264 divisors, whose sum is σ = 32054546160. Its totient is φ = 3167354880.

The previous prime is 10287885301. The next prime is 10287885367. The reversal of 10287885312 is 21358878201.

10287885312 is a `hidden beast` number, since 10 + 28 + 7 + 88 + 531 + 2 = 666.

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, 7178548 + ... + 7179980.

Almost surely, 2^10287885312 is an apocalyptic number.

10287885312 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 10287885312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16027273080).

10287885312 is an abundant number, since it is smaller than the sum of its proper divisors (21766660848).

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

10287885312 is a wasteful number, since it uses less digits than its factorization.

10287885312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 10287885312 in words is "ten billion, two hundred eighty-seven million, eight hundred eighty-five thousand, three hundred twelve".