20532805632 has 180 divisors, whose sum is σ = 62811979776. Its totient is φ = 6440878080.

The previous prime is 20532805619. The next prime is 20532805633. The reversal of 20532805632 is 23650823502.

20532805632 is a `hidden beast` number, since 20 + 53 + 28 + 0 + 563 + 2 = 666.

It is a super-2 number, since 2×20532805632² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20532805633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2502657 + ... + 2510847.

Almost surely, 2^20532805632 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 20532805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31405989888).

20532805632 is an abundant number, since it is smaller than the sum of its proper divisors (42279174144).

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

20532805632 is an equidigital number, since it uses as much as digits as its factorization.

20532805632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242 (or 8213 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 20532805632 in words is "twenty billion, five hundred thirty-two million, eight hundred five thousand, six hundred thirty-two".