10266030720 has 768 divisors, whose sum is σ = 42584330880. Its totient is φ = 2335703040.

The previous prime is 10266030679. The next prime is 10266030751. The reversal of 10266030720 is 2703066201.

It is a happy number.

10266030720 is a `hidden beast` number, since 10 + 26 + 603 + 0 + 7 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29082064 + ... + 29082416.

Almost surely, 2^10266030720 is an apocalyptic number.

10266030720 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 10266030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21292165440).

10266030720 is an abundant number, since it is smaller than the sum of its proper divisors (32318300160).

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

10266030720 is a wasteful number, since it uses less digits than its factorization.

10266030720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 10266030720 its reverse (2703066201), we get a palindrome (12969096921).

The spelling of 10266030720 in words is "ten billion, two hundred sixty-six million, thirty thousand, seven hundred twenty".