20532852480000 has 1920 divisors, whose sum is σ = 82803878277120. Its totient is φ = 4423680000000.

The previous prime is 20532852479941. The next prime is 20532852480001. The reversal of 20532852480000 is 8425823502.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20532852480001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34164479700 + ... + 34164480300.

It is an arithmetic number, because the mean of its divisors is an integer number (43127019936).

Almost surely, 2^{20532852480000} is an apocalyptic number.

20532852480000 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 20532852480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41401939138560).

20532852480000 is an abundant number, since it is smaller than the sum of its proper divisors (62271025797120).

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

20532852480000 is an equidigital number, since it uses as much as digits as its factorization.

20532852480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 20532852480000 in words is "twenty trillion, five hundred thirty-two billion, eight hundred fifty-two million, four hundred eighty thousand".