20759766720 has 560 divisors, whose sum is σ = 83253315840. Its totient is φ = 4293273600.

The previous prime is 20759766659. The next prime is 20759766737. The reversal of 20759766720 is 2766795702.

It is a tau number, because it is divible by the number of its divisors (560).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98387415 + ... + 98387625.

Almost surely, 2^20759766720 is an apocalyptic number.

20759766720 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 20759766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41626657920).

20759766720 is an abundant number, since it is smaller than the sum of its proper divisors (62493549120).

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

20759766720 is an equidigital number, since it uses as much as digits as its factorization.

20759766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 51.

The spelling of 20759766720 in words is "twenty billion, seven hundred fifty-nine million, seven hundred sixty-six thousand, seven hundred twenty".