11005672210235 has 16 divisors (see below), whose sum is σ = 13993301792736. Its totient is φ = 8280920575488.

The previous prime is 11005672210187. The next prime is 11005672210283. The reversal of 11005672210235 is 53201227650011.

It is an interprime number because it is at equal distance from previous prime (11005672210187) and next prime (11005672210283).

It is a cyclic number.

It is not a de Polignac number, because 11005672210235 - 2²⁸ = 11005403774779 is a prime.

It is a super-3 number, since 3×11005672210235³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11005672210195 and 11005672210204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44432069 + ... + 44679078.

It is an arithmetic number, because the mean of its divisors is an integer number (874581362046).

Almost surely, 2^{11005672210235} is an apocalyptic number.

11005672210235 is a deficient number, since it is larger than the sum of its proper divisors (2987629582501).

11005672210235 is a wasteful number, since it uses less digits than its factorization.

11005672210235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89112622.

The product of its (nonzero) digits is 25200, while the sum is 35.

Adding to 11005672210235 its reverse (53201227650011), we get a palindrome (64206899860246).

The spelling of 11005672210235 in words is "eleven trillion, five billion, six hundred seventy-two million, two hundred ten thousand, two hundred thirty-five".