10095243437088 has 144 divisors (see below), whose sum is σ = 30238723569600. Its totient is φ = 3185924037120.

The previous prime is 10095243437009. The next prime is 10095243437089. The reversal of 10095243437088 is 88073434259001.

It is a happy number.

10095243437088 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 524 + 3 + 4 + 37 + 0 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10095243437089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7939158 + ... + 9122538.

It is an arithmetic number, because the mean of its divisors is an integer number (209991135900).

Almost surely, 2^{10095243437088} is an apocalyptic number.

10095243437088 is a gapful number since it is divisible by the number (18) 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 10095243437088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119361784800).

10095243437088 is an abundant number, since it is smaller than the sum of its proper divisors (20143480132512).

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

10095243437088 is a wasteful number, since it uses less digits than its factorization.

10095243437088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184975 (or 1184964 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 10095243437088 in words is "ten trillion, ninety-five billion, two hundred forty-three million, four hundred thirty-seven thousand, eighty-eight".