10006415026543 has 8 divisors (see below), whose sum is σ = 10776344443200. Its totient is φ = 9236514921888.

The previous prime is 10006415026529. The next prime is 10006415026547. The reversal of 10006415026543 is 34562051460001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10006415026543 - 2⁹ = 10006415026031 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006415026547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6616423 + ... + 7986856.

It is an arithmetic number, because the mean of its divisors is an integer number (1347043055400).

Almost surely, 2^{10006415026543} is an apocalyptic number.

10006415026543 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10006415026543 is a deficient number, since it is larger than the sum of its proper divisors (769929416657).

10006415026543 is a wasteful number, since it uses less digits than its factorization.

10006415026543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14656001.

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 10006415026543 its reverse (34562051460001), we get a palindrome (44568466486544).

The spelling of 10006415026543 in words is "ten trillion, six billion, four hundred fifteen million, twenty-six thousand, five hundred forty-three".