20023349948160 has 1728 divisors, whose sum is σ = 74299295347200. Its totient is φ = 4585261105152.

The previous prime is 20023349948159. The next prime is 20023349948209. The reversal of 20023349948160 is 6184994332002.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 88208589967 + ... + 88208590193.

It is an arithmetic number, because the mean of its divisors is an integer number (42997277400).

Almost surely, 2^{20023349948160} is an apocalyptic number.

20023349948160 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 20023349948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149647673600).

20023349948160 is an abundant number, since it is smaller than the sum of its proper divisors (54275945399040).

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

20023349948160 is a wasteful number, since it uses less digits than its factorization.

20023349948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 20023349948160 in words is "twenty trillion, twenty-three billion, three hundred forty-nine million, nine hundred forty-eight thousand, one hundred sixty".