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53568099360 = 2534529142529
BaseRepresentation
bin110001111000111010…
…000101010000100000
312010021020211101210000
4301320322011100200
51334201413134420
640335302140000
73604316221536
oct617072052040
9163236741700
1053568099360
11207998829a6
12a46ba21600
135089060a19
142842578156
1515d7c54690
hexc78e85420

53568099360 has 240 divisors, whose sum is σ = 195571114200. Its totient is φ = 13792149504.

The previous prime is 53568099349. The next prime is 53568099419. The reversal of 53568099360 is 6399086535.

It can be written as a sum of positive squares in 4 ways, for example, as 52901840016 + 666259344 = 230004^2 + 25812^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 53568099297 and 53568099306.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 304576 + ... + 447104.

Almost surely, 253568099360 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 53568099360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97785557100).

53568099360 is an abundant number, since it is smaller than the sum of its proper divisors (142003014840).

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

53568099360 is a wasteful number, since it uses less digits than its factorization.

53568099360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142585 (or 142568 counting only the distinct ones).

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

The spelling of 53568099360 in words is "fifty-three billion, five hundred sixty-eight million, ninety-nine thousand, three hundred sixty".