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53680527360 = 2113851747
BaseRepresentation
bin110001111111100110…
…111101100000000000
312010120002101100000000
4301333212331200000
51334414203333420
640354400000000
73610152645135
oct617746754000
9163502340000
1053680527360
11208472927a9
12a4a1600000
1350a6436275
14285348258c
1515e2a61690
hexc7f9bd800

53680527360 has 864 divisors, whose sum is σ = 208909471680. Its totient is φ = 13186105344.

The previous prime is 53680527353. The next prime is 53680527361. The reversal of 53680527360 is 6372508635.

53680527360 is a `hidden beast` number, since 5 + 3 + 68 + 0 + 527 + 3 + 60 = 666.

53680527360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53680527361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1142138857 + ... + 1142138903.

It is an arithmetic number, because the mean of its divisors is an integer number (241793370).

Almost surely, 253680527360 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 53680527360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104454735840).

53680527360 is an abundant number, since it is smaller than the sum of its proper divisors (155228944320).

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

53680527360 is an frugal number, since it uses more digits than its factorization.

53680527360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 53680527360 in words is "fifty-three billion, six hundred eighty million, five hundred twenty-seven thousand, three hundred sixty".