20198580864 has 384 divisors, whose sum is σ = 71062894080. Its totient is φ = 5017098240.

The previous prime is 20198580863. The next prime is 20198580901. The reversal of 20198580864 is 46808589102.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (20198580863) 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 47 ways as a sum of consecutive naturals, for example, 4758327 + ... + 4762569.

It is an arithmetic number, because the mean of its divisors is an integer number (185059620).

Almost surely, 2^20198580864 is an apocalyptic number.

20198580864 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 20198580864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35531447040).

20198580864 is an abundant number, since it is smaller than the sum of its proper divisors (50864313216).

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

20198580864 is a wasteful number, since it uses less digits than its factorization.

20198580864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 20198580864 in words is "twenty billion, one hundred ninety-eight million, five hundred eighty thousand, eight hundred sixty-four".