20826643200 has 432 divisors, whose sum is σ = 77423711232. Its totient is φ = 4884480000.

The previous prime is 20826643199. The next prime is 20826643217. The reversal of 20826643200 is 234662802.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 6545610 + ... + 6548790.

Almost surely, 2^20826643200 is an apocalyptic number.

20826643200 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 20826643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38711855616).

20826643200 is an abundant number, since it is smaller than the sum of its proper divisors (56597068032).

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

20826643200 is a wasteful number, since it uses less digits than its factorization.

20826643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 20826643200 in words is "twenty billion, eight hundred twenty-six million, six hundred forty-three thousand, two hundred".