20042027500320 has 1152 divisors, whose sum is σ = 79887015936000. Its totient is φ = 4481592385536.

The previous prime is 20042027500291. The next prime is 20042027500349. The reversal of 20042027500320 is 2300572024002.

20042027500320 is a `hidden beast` number, since 200 + 420 + 2 + 7 + 5 + 0 + 0 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20042027500291) and next prime (20042027500349).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34143147067 + ... + 34143147653.

It is an arithmetic number, because the mean of its divisors is an integer number (69346368000).

Almost surely, 2^{20042027500320} is an apocalyptic number.

20042027500320 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 20042027500320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39943507968000).

20042027500320 is an abundant number, since it is smaller than the sum of its proper divisors (59844988435680).

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

20042027500320 is a wasteful number, since it uses less digits than its factorization.

20042027500320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 20042027500320 its reverse (2300572024002), we get a palindrome (22342599524322).

The spelling of 20042027500320 in words is "twenty trillion, forty-two billion, twenty-seven million, five hundred thousand, three hundred twenty".