10006041052568 has 64 divisors (see below), whose sum is σ = 20518138667520. Its totient is φ = 4536821660800.

The previous prime is 10006041052561. The next prime is 10006041052589. The reversal of 10006041052568 is 86525014060001.

It is a happy number.

It is a super-2 number, since 2×10006041052568² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006041052561) 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, 117533105 + ... + 117618207.

It is an arithmetic number, because the mean of its divisors is an integer number (320595916680).

Almost surely, 2^{10006041052568} is an apocalyptic number.

It is an amenable number.

10006041052568 is an abundant number, since it is smaller than the sum of its proper divisors (10512097614952).

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

10006041052568 is a wasteful number, since it uses less digits than its factorization.

10006041052568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88448 (or 88444 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 10006041052568 in words is "ten trillion, six billion, forty-one million, fifty-two thousand, five hundred sixty-eight".