20209512960 has 1680 divisors, whose sum is σ = 96365691576. Its totient is φ = 4013162496.

The previous prime is 20209512959. The next prime is 20209512989. The reversal of 20209512960 is 6921590202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15372032256 + 4837480704 = 123984^2 + 69552^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1188794872 + ... + 1188794888.

Almost surely, 2^20209512960 is an apocalyptic number.

20209512960 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 20209512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48182845788).

20209512960 is an abundant number, since it is smaller than the sum of its proper divisors (76156178616).

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

20209512960 is an equidigital number, since it uses as much as digits as its factorization.

20209512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 20209512960 in words is "twenty billion, two hundred nine million, five hundred twelve thousand, nine hundred sixty".