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5660963925120 = 27355731434783
BaseRepresentation
bin101001001100000101110…
…1111100110110010000000
3202001011221022100110100000
41102120023233212302000
51220222123231100440
620012335543200000
71122663651266160
oct122301357466200
922034838313300
105660963925120
11189288a611349
12775171446000
13320a99097a3a
14157dc651a5a0
159c3c4749730
hex5260bbe6c80

5660963925120 has 3072 divisors, whose sum is σ = 25293328220160. Its totient is φ = 1182628823040.

The previous prime is 5660963925119. The next prime is 5660963925143. The reversal of 5660963925120 is 215293690665.

It is a happy number.

5660963925120 is a `hidden beast` number, since 5 + 6 + 6 + 0 + 96 + 39 + 2 + 512 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 68204384599 + ... + 68204384681.

It is an arithmetic number, because the mean of its divisors is an integer number (8233505280).

Almost surely, 25660963925120 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 5660963925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646664110080).

5660963925120 is an abundant number, since it is smaller than the sum of its proper divisors (19632364295040).

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

5660963925120 is a wasteful number, since it uses less digits than its factorization.

5660963925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 5660963925120 in words is "five trillion, six hundred sixty billion, nine hundred sixty-three million, nine hundred twenty-five thousand, one hundred twenty".