10982411208 has 192 divisors, whose sum is σ = 31441737600. Its totient is φ = 3459456000.

The previous prime is 10982411201. The next prime is 10982411221. The reversal of 10982411208 is 80211428901.

It is a happy number.

It is a Cunningham number, because it is equal to 104797²-1.

It is a super-2 number, since 2×10982411208² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10982411201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12784683 + ... + 12785541.

It is an arithmetic number, because the mean of its divisors is an integer number (163759050).

Almost surely, 2^10982411208 is an apocalyptic number.

10982411208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10982411208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15720868800).

10982411208 is an abundant number, since it is smaller than the sum of its proper divisors (20459326392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10982411208 is a wasteful number, since it uses less digits than its factorization.

10982411208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

It can be divided in two parts, 1098 and 2411208, that added together give a triangular number (2412306 = T₂₁₉₆).

The spelling of 10982411208 in words is "ten billion, nine hundred eighty-two million, four hundred eleven thousand, two hundred eight".