10986122646720 has 1344 divisors, whose sum is σ = 43616031436800. Its totient is φ = 2599239352320.

The previous prime is 10986122646701. The next prime is 10986122646739. The reversal of 10986122646720 is 2764622168901.

10986122646720 is a `hidden beast` number, since 10 + 9 + 8 + 612 + 2 + 6 + 4 + 6 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10986122646701) and next prime (10986122646739).

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 191 ways as a sum of consecutive naturals, for example, 7378187736 + ... + 7378189224.

Almost surely, 2^{10986122646720} is an apocalyptic number.

10986122646720 is a gapful number since it is divisible by the number (10) 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 10986122646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21808015718400).

10986122646720 is an abundant number, since it is smaller than the sum of its proper divisors (32629908790080).

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

10986122646720 is a wasteful number, since it uses less digits than its factorization.

10986122646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 10986122646720 in words is "ten trillion, nine hundred eighty-six billion, one hundred twenty-two million, six hundred forty-six thousand, seven hundred twenty".