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20655477360 = 24335717229163
BaseRepresentation
bin10011001111001010…
…011001001001110000
31222022111220222011000
4103033022121021300
5314300300233420
613253342322000
71330601442420
oct231712311160
958274828130
1020655477360
11883a529951
124005589300
131c42428a6b
14ddd390480
1580d596690
hex4cf299270

20655477360 has 960 divisors, whose sum is σ = 89901388800. Its totient is φ = 4263985152.

The previous prime is 20655477341. The next prime is 20655477419. The reversal of 20655477360 is 6377455602.

20655477360 is a `hidden beast` number, since 20 + 6 + 554 + 7 + 73 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126720639 + ... + 126720801.

It is an arithmetic number, because the mean of its divisors is an integer number (93647280).

Almost surely, 220655477360 is an apocalyptic number.

20655477360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20655477360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44950694400).

20655477360 is an abundant number, since it is smaller than the sum of its proper divisors (69245911440).

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

20655477360 is a wasteful number, since it uses less digits than its factorization.

20655477360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 20655477360 in words is "twenty billion, six hundred fifty-five million, four hundred seventy-seven thousand, three hundred sixty".