10212065280 has 540 divisors, whose sum is σ = 38695205640. Its totient is φ = 2579890176.

The previous prime is 10212065239. The next prime is 10212065333. The reversal of 10212065280 is 8256021201.

It is a happy number.

10212065280 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 0 + 652 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 537477111 + ... + 537477129.

Almost surely, 2^10212065280 is an apocalyptic number.

10212065280 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 10212065280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19347602820).

10212065280 is an abundant number, since it is smaller than the sum of its proper divisors (28483140360).

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

10212065280 is an frugal number, since it uses more digits than its factorization.

10212065280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 10212065280 its reverse (8256021201), we get a palindrome (18468086481).

The spelling of 10212065280 in words is "ten billion, two hundred twelve million, sixty-five thousand, two hundred eighty".