20525285506032 has 240 divisors, whose sum is σ = 61892907648000. Its totient is φ = 6329293364736.

The previous prime is 20525285506031. The next prime is 20525285506049. The reversal of 20525285506032 is 23060558252502.

20525285506032 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 5 + 2 + 8 + 550 + 60 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20525285506031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56270094 + ... + 56633682.

It is an arithmetic number, because the mean of its divisors is an integer number (257887115200).

Almost surely, 2^{20525285506032} 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 20525285506032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30946453824000).

20525285506032 is an abundant number, since it is smaller than the sum of its proper divisors (41367622141968).

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

20525285506032 is a wasteful number, since it uses less digits than its factorization.

20525285506032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364108 (or 364099 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 20525285506032 in words is "twenty trillion, five hundred twenty-five billion, two hundred eighty-five million, five hundred six thousand, thirty-two".