10939808403216 has 1440 divisors, whose sum is σ = 41692831488000. Its totient is φ = 2734380633600.

The previous prime is 10939808403187. The next prime is 10939808403353. The reversal of 10939808403216 is 61230480893901.

10939808403216 is a `hidden beast` number, since 10 + 9 + 3 + 9 + 8 + 0 + 8 + 403 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7819733685 + ... + 7819735083.

It is an arithmetic number, because the mean of its divisors is an integer number (28953355200).

Almost surely, 2^{10939808403216} is an apocalyptic number.

10939808403216 is a gapful number since it is divisible by the number (16) 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 10939808403216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20846415744000).

10939808403216 is an abundant number, since it is smaller than the sum of its proper divisors (30753023084784).

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

10939808403216 is a wasteful number, since it uses less digits than its factorization.

10939808403216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 10939808403216 in words is "ten trillion, nine hundred thirty-nine billion, eight hundred eight million, four hundred three thousand, two hundred sixteen".