20533641120 has 288 divisors, whose sum is σ = 72580644864. Its totient is φ = 5280768000.

The previous prime is 20533641109. The next prime is 20533641133. The reversal of 20533641120 is 2114633502.

20533641120 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 3 + 641 + 12 + 0 = 666.

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

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, 17096520 + ... + 17097720.

It is an arithmetic number, because the mean of its divisors is an integer number (252016128).

Almost surely, 2^20533641120 is an apocalyptic number.

20533641120 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 20533641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36290322432).

20533641120 is an abundant number, since it is smaller than the sum of its proper divisors (52047003744).

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

20533641120 is a wasteful number, since it uses less digits than its factorization.

20533641120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 20533641120 in words is "twenty billion, five hundred thirty-three million, six hundred forty-one thousand, one hundred twenty".