20826281952 has 336 divisors, whose sum is σ = 71095540320. Its totient is φ = 5879402496.

The previous prime is 20826281941. The next prime is 20826282047. The reversal of 20826281952 is 25918262802.

20826281952 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 628 + 19 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 20826281898 and 20826281907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14532628 + ... + 14534060.

It is an arithmetic number, because the mean of its divisors is an integer number (211593870).

Almost surely, 2^20826281952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20826281952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35547770160).

20826281952 is an abundant number, since it is smaller than the sum of its proper divisors (50269258368).

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

20826281952 is an equidigital number, since it uses as much as digits as its factorization.

20826281952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 20826281952 in words is "twenty billion, eight hundred twenty-six million, two hundred eighty-one thousand, nine hundred fifty-two".