10319431680 has 144 divisors (see below), whose sum is σ = 35765615340. Its totient is φ = 2751823872.

The previous prime is 10319431679. The next prime is 10319431697. The reversal of 10319431680 is 8613491301.

It can be written as a sum of positive squares in 2 ways, for example, as 10180002816 + 139428864 = 100896^2 + 11808^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36174 + ... + 148146.

Almost surely, 2^10319431680 is an apocalyptic number.

10319431680 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 10319431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17882807670).

10319431680 is an abundant number, since it is smaller than the sum of its proper divisors (25446183660).

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

10319431680 is a wasteful number, since it uses less digits than its factorization.

10319431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112006 (or 111983 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10319431680 in words is "ten billion, three hundred nineteen million, four hundred thirty-one thousand, six hundred eighty".