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55660815360 = 210345134213
BaseRepresentation
bin110011110101101001…
…001010010000000000
312022200002122101110000
4303311221022100000
51402443132042420
641323100240000
74010220060423
oct636551122000
9168602571400
1055660815360
1121673096457
12a954840000
13533079b307
1429a04899ba
1516ab82d690
hexcf5a4a400

55660815360 has 220 divisors, whose sum is σ = 199458378108. Its totient is φ = 14842773504.

The previous prime is 55660815359. The next prime is 55660815361. The reversal of 55660815360 is 6351806655.

55660815360 is a `hidden beast` number, since 5 + 5 + 6 + 608 + 1 + 5 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55660815359) and next prime (55660815361).

It can be written as a sum of positive squares in 2 ways, for example, as 30661410816 + 24999404544 = 175104^2 + 158112^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55660815361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 347614 + ... + 481826.

Almost surely, 255660815360 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 55660815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99729189054).

55660815360 is an abundant number, since it is smaller than the sum of its proper divisors (143797562748).

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

55660815360 is a wasteful number, since it uses less digits than its factorization.

55660815360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134250 (or 134223 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 55660815360 in words is "fifty-five billion, six hundred sixty million, eight hundred fifteen thousand, three hundred sixty".