10920784689864 has 480 divisors, whose sum is σ = 35875174769280. Its totient is φ = 3094619883264.

The previous prime is 10920784689833. The next prime is 10920784689917. The reversal of 10920784689864 is 46898648702901.

10920784689864 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 0 + 78 + 468 + 98 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 10920784689792 and 10920784689801.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3205394449 + ... + 3205397855.

It is an arithmetic number, because the mean of its divisors is an integer number (74739947436).

Almost surely, 2^{10920784689864} is an apocalyptic number.

10920784689864 is a gapful number since it is divisible by the number (14) 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 10920784689864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17937587384640).

10920784689864 is an abundant number, since it is smaller than the sum of its proper divisors (24954390079416).

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

10920784689864 is a wasteful number, since it uses less digits than its factorization.

10920784689864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4219 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 10920784689864 in words is "ten trillion, nine hundred twenty billion, seven hundred eighty-four million, six hundred eighty-nine thousand, eight hundred sixty-four".