20284088960 has 64 divisors (see below), whose sum is σ = 48596202720. Its totient is φ = 8096142336.

The previous prime is 20284088941. The next prime is 20284088987. The reversal of 20284088960 is 6988048202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×20284088960² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264947 + ... + 332813.

Almost surely, 2^20284088960 is an apocalyptic number.

20284088960 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 20284088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24298101360).

20284088960 is an abundant number, since it is smaller than the sum of its proper divisors (28312113760).

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

20284088960 is an equidigital number, since it uses as much as digits as its factorization.

20284088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68353 (or 68341 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The spelling of 20284088960 in words is "twenty billion, two hundred eighty-four million, eighty-eight thousand, nine hundred sixty".