20264844083400 has 864 divisors, whose sum is σ = 81767126881440. Its totient is φ = 4481871851520.

The previous prime is 20264844083359. The next prime is 20264844083401. The reversal of 20264844083400 is 438044846202.

20264844083400 is a `hidden beast` number, since 2 + 0 + 264 + 8 + 4 + 40 + 8 + 340 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20264844083401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 405783232 + ... + 405833168.

It is an arithmetic number, because the mean of its divisors is an integer number (94637878335).

Almost surely, 2^{20264844083400} is an apocalyptic number.

20264844083400 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 20264844083400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40883563440720).

20264844083400 is an abundant number, since it is smaller than the sum of its proper divisors (61502282798040).

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

20264844083400 is a wasteful number, since it uses less digits than its factorization.

20264844083400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50123 (or 50104 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 20264844083400 in words is "twenty trillion, two hundred sixty-four billion, eight hundred forty-four million, eighty-three thousand, four hundred".