10991838993408 has 880 divisors, whose sum is σ = 40953955627200. Its totient is φ = 2859091623936.

The previous prime is 10991838993341. The next prime is 10991838993413. The reversal of 10991838993408 is 80439983819901.

10991838993408 is a `hidden beast` number, since 1 + 0 + 99 + 18 + 38 + 9 + 93 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 550987018 + ... + 551006966.

It is an arithmetic number, because the mean of its divisors is an integer number (46538585940).

Almost surely, 2^{10991838993408} is an apocalyptic number.

10991838993408 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 10991838993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20476977813600).

10991838993408 is an abundant number, since it is smaller than the sum of its proper divisors (29962116633792).

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

10991838993408 is a wasteful number, since it uses less digits than its factorization.

10991838993408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20074 (or 20047 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 72.

The spelling of 10991838993408 in words is "ten trillion, nine hundred ninety-one billion, eight hundred thirty-eight million, nine hundred ninety-three thousand, four hundred eight".