10055366355001 has 16 divisors (see below), whose sum is σ = 11061024494400. Its totient is φ = 9140517318240.

The previous prime is 10055366354977. The next prime is 10055366355037.

It is a happy number.

10055366355001 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-10055366355001 is a prime.

It is a super-2 number, since 2×10055366355001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10055366305001) 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 15 ways as a sum of consecutive naturals, for example, 16862190 + ... + 17448328.

It is an arithmetic number, because the mean of its divisors is an integer number (691314030900).

Almost surely, 2^{10055366355001} is an apocalyptic number.

10055366355001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10055366355001 is a deficient number, since it is larger than the sum of its proper divisors (1005658139399).

10055366355001 is an equidigital number, since it uses as much as digits as its factorization.

10055366355001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599061 (or 599039 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 40.

The spelling of 10055366355001 in words is "ten trillion, fifty-five billion, three hundred sixty-six million, three hundred fifty-five thousand, one".