20527059168 has 288 divisors, whose sum is σ = 73705282560. Its totient is φ = 5263764480.

The previous prime is 20527059131. The next prime is 20527059181. The reversal of 20527059168 is 86195072502.

20527059168 is a `hidden beast` number, since 2 + 0 + 52 + 7 + 0 + 591 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1746046 + ... + 1757762.

It is an arithmetic number, because the mean of its divisors is an integer number (255921120).

Almost surely, 2^20527059168 is an apocalyptic number.

20527059168 is a gapful number since it is divisible by the number (28) 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 20527059168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36852641280).

20527059168 is an abundant number, since it is smaller than the sum of its proper divisors (53178223392).

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

20527059168 is a wasteful number, since it uses less digits than its factorization.

20527059168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11830 (or 11819 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 20527059168 in words is "twenty billion, five hundred twenty-seven million, fifty-nine thousand, one hundred sixty-eight".