20345031504500 has 384 divisors, whose sum is σ = 47368720788480. Its totient is φ = 7621985280000.

The previous prime is 20345031504493. The next prime is 20345031504503. The reversal of 20345031504500 is 540513054302.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20345031504503) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 39049964240 + ... + 39049964760.

It is an arithmetic number, because the mean of its divisors is an integer number (123356043720).

Almost surely, 2^{20345031504500} is an apocalyptic number.

20345031504500 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 20345031504500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23684360394240).

20345031504500 is an abundant number, since it is smaller than the sum of its proper divisors (27023689283980).

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

20345031504500 is a wasteful number, since it uses less digits than its factorization.

20345031504500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

Adding to 20345031504500 its reverse (540513054302), we get a palindrome (20885544558802).

The spelling of 20345031504500 in words is "twenty trillion, three hundred forty-five billion, thirty-one million, five hundred four thousand, five hundred".