10000642996224 has 144 divisors (see below), whose sum is σ = 28912092463800. Its totient is φ = 3330270019584.

The previous prime is 10000642996207. The next prime is 10000642996229. The reversal of 10000642996224 is 42269924600001.

10000642996224 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 6 + 4 + 2 + 9 + 9 + 622 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10000642996224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000642996229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18515982 + ... + 19048434.

Almost surely, 2^{10000642996224} 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 10000642996224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14456046231900).

10000642996224 is an abundant number, since it is smaller than the sum of its proper divisors (18911449467576).

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

10000642996224 is a wasteful number, since it uses less digits than its factorization.

10000642996224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533500 (or 533477 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10000642996224 in words is "ten trillion, six hundred forty-two million, nine hundred ninety-six thousand, two hundred twenty-four".