10306798880 has 96 divisors (see below), whose sum is σ = 27902931840. Its totient is φ = 3524290560.

The previous prime is 10306798849. The next prime is 10306798883. The reversal of 10306798880 is 8889760301.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10306798883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412340 + ... + 436620.

It is an arithmetic number, because the mean of its divisors is an integer number (290655540).

Almost surely, 2^10306798880 is an apocalyptic number.

10306798880 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 10306798880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13951465920).

10306798880 is an abundant number, since it is smaller than the sum of its proper divisors (17596132960).

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

10306798880 is a wasteful number, since it uses less digits than its factorization.

10306798880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24682 (or 24674 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 50.

The spelling of 10306798880 in words is "ten billion, three hundred six million, seven hundred ninety-eight thousand, eight hundred eighty".