20459799360 has 1344 divisors, whose sum is σ = 97136492544. Its totient is φ = 3815424000.

The previous prime is 20459799359. The next prime is 20459799389. The reversal of 20459799360 is 6399795402.

20459799360 is a `hidden beast` number, since 204 + 5 + 9 + 79 + 9 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20459799297 and 20459799306.

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, 135495285 + ... + 135495435.

It is an arithmetic number, because the mean of its divisors is an integer number (72274176).

Almost surely, 2^20459799360 is an apocalyptic number.

20459799360 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 20459799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48568246272).

20459799360 is an abundant number, since it is smaller than the sum of its proper divisors (76676693184).

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

20459799360 is a wasteful number, since it uses less digits than its factorization.

20459799360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 20459799360 in words is "twenty billion, four hundred fifty-nine million, seven hundred ninety-nine thousand, three hundred sixty".