10280487168 has 576 divisors, whose sum is σ = 37439539200. Its totient is φ = 2717245440.

The previous prime is 10280487071. The next prime is 10280487181. The reversal of 10280487168 is 86178408201.

10280487168 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 0 + 487 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10280487168² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48722583 + ... + 48722793.

It is an arithmetic number, because the mean of its divisors is an integer number (64999200).

Almost surely, 2^10280487168 is an apocalyptic number.

10280487168 is a gapful number since it is divisible by the number (18) 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 10280487168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18719769600).

10280487168 is an abundant number, since it is smaller than the sum of its proper divisors (27159052032).

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

10280487168 is a wasteful number, since it uses less digits than its factorization.

10280487168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 10280487168 in words is "ten billion, two hundred eighty million, four hundred eighty-seven thousand, one hundred sixty-eight".