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5660643166560 = 2532561354118199
BaseRepresentation
bin101001001011111100010…
…1000000000100101100000
3202001011002221210020022100
41102113320220000211200
51220220444122312220
620012244044210400
71122653005011054
oct122277050004540
922034087706270
105660643166560
111892735549728
127750a1b39a00
13320a477ac485
14157d95aa1c64
159c3a64d9d90
hex525f8a00960

5660643166560 has 288 divisors, whose sum is σ = 19640239819200. Its totient is φ = 1484257996800.

The previous prime is 5660643166537. The next prime is 5660643166573. The reversal of 5660643166560 is 656613460665.

5660643166560 is a `hidden beast` number, since 5 + 6 + 6 + 0 + 64 + 3 + 16 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 5660643166497 and 5660643166506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311032341 + ... + 311050539.

It is an arithmetic number, because the mean of its divisors is an integer number (68195277150).

Almost surely, 25660643166560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5660643166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9820119909600).

5660643166560 is an abundant number, since it is smaller than the sum of its proper divisors (13979596652640).

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

5660643166560 is a wasteful number, since it uses less digits than its factorization.

5660643166560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21822 (or 21811 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

It can be divided in two parts, 566064 and 3166560, that added together give a square (3732624 = 19322).

The spelling of 5660643166560 in words is "five trillion, six hundred sixty billion, six hundred forty-three million, one hundred sixty-six thousand, five hundred sixty".