20488533120 has 768 divisors, whose sum is σ = 82047168000. Its totient is φ = 4825497600.

The previous prime is 20488533097. The next prime is 20488533181. The reversal of 20488533120 is 2133588402.

20488533120 is a `hidden beast` number, since 2 + 0 + 488 + 53 + 3 + 120 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 85725961 + ... + 85726199.

It is an arithmetic number, because the mean of its divisors is an integer number (106832250).

Almost surely, 2^20488533120 is an apocalyptic number.

20488533120 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 20488533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41023584000).

20488533120 is an abundant number, since it is smaller than the sum of its proper divisors (61558634880).

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

20488533120 is a wasteful number, since it uses less digits than its factorization.

20488533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20488533120 in words is "twenty billion, four hundred eighty-eight million, five hundred thirty-three thousand, one hundred twenty".