20822399136000 has 6480 divisors, whose sum is σ = 108309226177152. Its totient is φ = 3857891328000.

The previous prime is 20822399135977. The next prime is 20822399136031. The reversal of 20822399136000 is 63199322802.

It is a happy number.

20822399136000 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 2 + 39 + 9 + 1 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1095915743991 + ... + 1095915744009.

Almost surely, 2^{20822399136000} is an apocalyptic number.

20822399136000 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 20822399136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54154613088576).

20822399136000 is an abundant number, since it is smaller than the sum of its proper divisors (87486827041152).

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

20822399136000 is a wasteful number, since it uses less digits than its factorization.

20822399136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 20822399136000 in words is "twenty trillion, eight hundred twenty-two billion, three hundred ninety-nine million, one hundred thirty-six thousand".