10139816960 has 264 divisors, whose sum is σ = 30481221960. Its totient is φ = 3208052736.

The previous prime is 10139816941. The next prime is 10139816993. The reversal of 10139816960 is 6961893101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24285184 + 10115531776 = 4928^2 + 100576^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3259886 + ... + 3262994.

Almost surely, 2^10139816960 is an apocalyptic number.

10139816960 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 10139816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240610980).

10139816960 is an abundant number, since it is smaller than the sum of its proper divisors (20341405000).

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

10139816960 is a wasteful number, since it uses less digits than its factorization.

10139816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 44.

The spelling of 10139816960 in words is "ten billion, one hundred thirty-nine million, eight hundred sixteen thousand, nine hundred sixty".