10006430280 has 512 divisors, whose sum is σ = 39191040000. Its totient is φ = 1983098880.

The previous prime is 10006430261. The next prime is 10006430297. The reversal of 10006430280 is 8203460001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10006430280.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28671546 + ... + 28671894.

It is an arithmetic number, because the mean of its divisors is an integer number (76545000).

Almost surely, 2^10006430280 is an apocalyptic number.

10006430280 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 10006430280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520000).

10006430280 is an abundant number, since it is smaller than the sum of its proper divisors (29184609720).

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

10006430280 is a wasteful number, since it uses less digits than its factorization.

10006430280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10006430280 its reverse (8203460001), we get a palindrome (18209890281).

The spelling of 10006430280 in words is "ten billion, six million, four hundred thirty thousand, two hundred eighty".