10001006056006 has 8 divisors (see below), whose sum is σ = 17144581810320. Its totient is φ = 4286145452568.

The previous prime is 10001006055979. The next prime is 10001006056021. The reversal of 10001006056006 is 60065060010001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 357178787701 + ... + 357178787728.

It is an arithmetic number, because the mean of its divisors is an integer number (2143072726290).

Almost surely, 2^{10001006056006} is an apocalyptic number.

10001006056006 is a deficient number, since it is larger than the sum of its proper divisors (7143575754314).

10001006056006 is an equidigital number, since it uses as much as digits as its factorization.

10001006056006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714357575438.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 10001006056006 its reverse (60065060010001), we get a palindrome (70066066066007).

The spelling of 10001006056006 in words is "ten trillion, one billion, six million, fifty-six thousand, six".