10095961760 has 96 divisors (see below), whose sum is σ = 24219663552. Its totient is φ = 3976519680.

The previous prime is 10095961721. The next prime is 10095961801. The reversal of 10095961760 is 6716959001.

It is a happy number.

It is an unprimeable number.

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, 3273179 + ... + 3276261.

It is an arithmetic number, because the mean of its divisors is an integer number (252288162).

Almost surely, 2^10095961760 is an apocalyptic number.

10095961760 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 10095961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12109831776).

10095961760 is an abundant number, since it is smaller than the sum of its proper divisors (14123701792).

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

10095961760 is a wasteful number, since it uses less digits than its factorization.

10095961760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 44.

The spelling of 10095961760 in words is "ten billion, ninety-five million, nine hundred sixty-one thousand, seven hundred sixty".