10095382944 has 96 divisors (see below), whose sum is σ = 29568672000. Its totient is φ = 3350979072.

The previous prime is 10095382943. The next prime is 10095382949. The reversal of 10095382944 is 44928359001.

10095382944 is a `hidden beast` number, since 100 + 9 + 538 + 2 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10095382944² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10095382944.

It is not an unprimeable number, because it can be changed into a prime (10095382943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182052 + ... + 230940.

It is an arithmetic number, because the mean of its divisors is an integer number (308007000).

Almost surely, 2^10095382944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10095382944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784336000).

10095382944 is an abundant number, since it is smaller than the sum of its proper divisors (19473289056).

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

10095382944 is a wasteful number, since it uses less digits than its factorization.

10095382944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49147 (or 49133 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10095382944 in words is "ten billion, ninety-five million, three hundred eighty-two thousand, nine hundred forty-four".