10853566617600 has 2304 divisors, whose sum is σ = 47087536204800. Its totient is φ = 2429396582400.

The previous prime is 10853566617557. The next prime is 10853566617659. The reversal of 10853566617600 is 671666535801.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×10853566617600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47813068687 + ... + 47813068913.

It is an arithmetic number, because the mean of its divisors is an integer number (20437298700).

Almost surely, 2^{10853566617600} is an apocalyptic number.

10853566617600 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 10853566617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23543768102400).

10853566617600 is an abundant number, since it is smaller than the sum of its proper divisors (36233969587200).

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

10853566617600 is an frugal number, since it uses more digits than its factorization.

10853566617600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 10853566617600 in words is "ten trillion, eight hundred fifty-three billion, five hundred sixty-six million, six hundred seventeen thousand, six hundred".