20882292480 has 1008 divisors, whose sum is σ = 90078589440. Its totient is φ = 4532723712.

The previous prime is 20882292467. The next prime is 20882292481. The reversal of 20882292480 is 8429228802.

20882292480 is a `hidden beast` number, since 2 + 0 + 8 + 82 + 2 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20882292481) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 150232251 + ... + 150232389.

It is an arithmetic number, because the mean of its divisors is an integer number (89363680).

Almost surely, 2^20882292480 is an apocalyptic number.

20882292480 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 20882292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45039294720).

20882292480 is an abundant number, since it is smaller than the sum of its proper divisors (69196296960).

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

20882292480 is an equidigital number, since it uses as much as digits as its factorization.

20882292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 20882292480 in words is "twenty billion, eight hundred eighty-two million, two hundred ninety-two thousand, four hundred eighty".