20484768740100 has 432 divisors, whose sum is σ = 71342155684800. Its totient is φ = 4521945415680.

The previous prime is 20484768740077. The next prime is 20484768740101. The reversal of 20484768740100 is 104786748402.

It is not an unprimeable number, because it can be changed into a prime (20484768740101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56074836 + ... + 56438964.

It is an arithmetic number, because the mean of its divisors is an integer number (165143878900).

Almost surely, 2^{20484768740100} is an apocalyptic number.

20484768740100 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 20484768740100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35671077842400).

20484768740100 is an abundant number, since it is smaller than the sum of its proper divisors (50857386944700).

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

20484768740100 is a wasteful number, since it uses less digits than its factorization.

20484768740100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364292 (or 364278 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 51.

The spelling of 20484768740100 in words is "twenty trillion, four hundred eighty-four billion, seven hundred sixty-eight million, seven hundred forty thousand, one hundred".