10682567280 has 480 divisors, whose sum is σ = 46230374400. Its totient is φ = 2219374080.

The previous prime is 10682567257. The next prime is 10682567303. The reversal of 10682567280 is 8276528601.

10682567280 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 2 + 567 + 2 + 80 = 666.

10682567280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10682567257) and next prime (10682567303).

It is a super-2 number, since 2×10682567280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1826601 + ... + 1832439.

It is an arithmetic number, because the mean of its divisors is an integer number (96313280).

Almost surely, 2^10682567280 is an apocalyptic number.

10682567280 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 10682567280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23115187200).

10682567280 is an abundant number, since it is smaller than the sum of its proper divisors (35547807120).

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

10682567280 is a wasteful number, since it uses less digits than its factorization.

10682567280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5890 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10682567280 in words is "ten billion, six hundred eighty-two million, five hundred sixty-seven thousand, two hundred eighty".