10846789920 has 384 divisors, whose sum is σ = 40381286400. Its totient is φ = 2711522304.

The previous prime is 10846789909. The next prime is 10846789963. The reversal of 10846789920 is 2998764801.

10846789920 is a `hidden beast` number, since 10 + 8 + 467 + 89 + 92 + 0 = 666.

It is a super-2 number, since 2×10846789920² (a number of 21 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8453599 + ... + 8454881.

It is an arithmetic number, because the mean of its divisors is an integer number (105159600).

Almost surely, 2^10846789920 is an apocalyptic number.

10846789920 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 10846789920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20190643200).

10846789920 is an abundant number, since it is smaller than the sum of its proper divisors (29534496480).

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

10846789920 is a wasteful number, since it uses less digits than its factorization.

10846789920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 10846789920 in words is "ten billion, eight hundred forty-six million, seven hundred eighty-nine thousand, nine hundred twenty".