20960647680 has 640 divisors, whose sum is σ = 79941312000. Its totient is φ = 4682022912.

The previous prime is 20960647679. The next prime is 20960647711. The reversal of 20960647680 is 8674606902.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192299466 + ... + 192299574.

It is an arithmetic number, because the mean of its divisors is an integer number (124908300).

Almost surely, 2^20960647680 is an apocalyptic number.

20960647680 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 20960647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39970656000).

20960647680 is an abundant number, since it is smaller than the sum of its proper divisors (58980664320).

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

20960647680 is an equidigital number, since it uses as much as digits as its factorization.

20960647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 20960647680 in words is "twenty billion, nine hundred sixty million, six hundred forty-seven thousand, six hundred eighty".