10984307850656 has 96 divisors (see below), whose sum is σ = 26029345023360. Its totient is φ = 4457414900736.

The previous prime is 10984307850611. The next prime is 10984307850673. The reversal of 10984307850656 is 65605870348901.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7301006 + ... + 8676018.

It is an arithmetic number, because the mean of its divisors is an integer number (271139010660).

Almost surely, 2^{10984307850656} is an apocalyptic number.

10984307850656 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 10984307850656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13014672511680).

10984307850656 is an abundant number, since it is smaller than the sum of its proper divisors (15045037172704).

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

10984307850656 is a wasteful number, since it uses less digits than its factorization.

10984307850656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376926 (or 1376918 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 62.

The spelling of 10984307850656 in words is "ten trillion, nine hundred eighty-four billion, three hundred seven million, eight hundred fifty thousand, six hundred fifty-six".