10853711817984 has 2160 divisors, whose sum is σ = 41621149821440. Its totient is φ = 2785803632640.

The previous prime is 10853711817941. The next prime is 10853711818031. The reversal of 10853711817984 is 48971811735801.

10853711817984 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 371 + 18 + 179 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 148680983772 + ... + 148680983844.

Almost surely, 2^{10853711817984} is an apocalyptic number.

10853711817984 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 10853711817984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20810574910720).

10853711817984 is an abundant number, since it is smaller than the sum of its proper divisors (30767438003456).

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

10853711817984 is an frugal number, since it uses more digits than its factorization.

10853711817984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 63.

The spelling of 10853711817984 in words is "ten trillion, eight hundred fifty-three billion, seven hundred eleven million, eight hundred seventeen thousand, nine hundred eighty-four".