20826838080 has 336 divisors, whose sum is σ = 73105329024. Its totient is φ = 5441126400.

The previous prime is 20826838079. The next prime is 20826838093. The reversal of 20826838080 is 8083862802.

20826838080 is a `hidden beast` number, since 2 + 0 + 8 + 268 + 380 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36094752 + ... + 36095328.

It is an arithmetic number, because the mean of its divisors is an integer number (217575384).

Almost surely, 2^20826838080 is an apocalyptic number.

20826838080 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 20826838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36552664512).

20826838080 is an abundant number, since it is smaller than the sum of its proper divisors (52278490944).

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

20826838080 is a wasteful number, since it uses less digits than its factorization.

20826838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 821 counting only the distinct ones).

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

The spelling of 20826838080 in words is "twenty billion, eight hundred twenty-six million, eight hundred thirty-eight thousand, eighty".