10306398720 has 160 divisors (see below), whose sum is σ = 33154431552. Its totient is φ = 2731180032.

The previous prime is 10306398719. The next prime is 10306398727. The reversal of 10306398720 is 2789360301.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (10306398727) 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, 1247724 + ... + 1255956.

Almost surely, 2^10306398720 is an apocalyptic number.

10306398720 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 10306398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16577215776).

10306398720 is an abundant number, since it is smaller than the sum of its proper divisors (22848032832).

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

10306398720 is an equidigital number, since it uses as much as digits as its factorization.

10306398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8422 (or 8406 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 10306398720 in words is "ten billion, three hundred six million, three hundred ninety-eight thousand, seven hundred twenty".