20788306560 has 320 divisors, whose sum is σ = 84845819520. Its totient is φ = 4751529984.

The previous prime is 20788306541. The next prime is 20788306607. The reversal of 20788306560 is 6560388702.

20788306560 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 83 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 334237 + ... + 391523.

It is an arithmetic number, because the mean of its divisors is an integer number (265143186).

Almost surely, 2^20788306560 is an apocalyptic number.

20788306560 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 20788306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42422909760).

20788306560 is an abundant number, since it is smaller than the sum of its proper divisors (64057512960).

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

20788306560 is an equidigital number, since it uses as much as digits as its factorization.

20788306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57325 (or 57304 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 20788306560 in words is "twenty billion, seven hundred eighty-eight million, three hundred six thousand, five hundred sixty".