20565135360 has 1560 divisors, whose sum is σ = 97620469056. Its totient is φ = 4087480320.

The previous prime is 20565135343. The next prime is 20565135397. The reversal of 20565135360 is 6353156502.

20565135360 is a `hidden beast` number, since 2 + 0 + 565 + 1 + 35 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 894136309 + ... + 894136331.

Almost surely, 2^20565135360 is an apocalyptic number.

20565135360 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 20565135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48810234528).

20565135360 is an abundant number, since it is smaller than the sum of its proper divisors (77055333696).

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

20565135360 is a wasteful number, since it uses less digits than its factorization.

20565135360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 20565135360 in words is "twenty billion, five hundred sixty-five million, one hundred thirty-five thousand, three hundred sixty".