20123242521984 has 960 divisors, whose sum is σ = 74077918200000. Its totient is φ = 5388097978368.

The previous prime is 20123242521983. The next prime is 20123242521989. The reversal of 20123242521984 is 48912524232102.

20123242521984 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 3 + 2 + 42 + 521 + 9 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123242521983) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2064129142 + ... + 2064138890.

It is an arithmetic number, because the mean of its divisors is an integer number (77164498125).

Almost surely, 2^{20123242521984} is an apocalyptic number.

20123242521984 is a gapful number since it is divisible by the number (24) 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 20123242521984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37038959100000).

20123242521984 is an abundant number, since it is smaller than the sum of its proper divisors (53954675678016).

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

20123242521984 is a wasteful number, since it uses less digits than its factorization.

20123242521984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10045 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 20123242521984 in words is "twenty trillion, one hundred twenty-three billion, two hundred forty-two million, five hundred twenty-one thousand, nine hundred eighty-four".