10821838261 has 8 divisors (see below), whose sum is σ = 12160995840. Its totient is φ = 9555067632.

The previous prime is 10821838243. The next prime is 10821838327. The reversal of 10821838261 is 16283812801.

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 10821838261 - 2⁵ = 10821838229 is a prime.

It is a super-2 number, since 2×10821838261² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10821838201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18096421 + ... + 18097018.

It is an arithmetic number, because the mean of its divisors is an integer number (1520124480).

Almost surely, 2^10821838261 is an apocalyptic number.

It is an amenable number.

10821838261 is a deficient number, since it is larger than the sum of its proper divisors (1339157579).

10821838261 is a wasteful number, since it uses less digits than its factorization.

10821838261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36193475.

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 10821838261 in words is "ten billion, eight hundred twenty-one million, eight hundred thirty-eight thousand, two hundred sixty-one".