20822961600 has 756 divisors, whose sum is σ = 89363254344. Its totient is φ = 4755179520.

The previous prime is 20822961589. The next prime is 20822961619. The reversal of 20822961600 is 616922802.

It is a happy number.

20822961600 is a `hidden beast` number, since 20 + 8 + 2 + 29 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19050654 + ... + 19051746.

Almost surely, 2^20822961600 is an apocalyptic number.

20822961600 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 20822961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44681627172).

20822961600 is an abundant number, since it is smaller than the sum of its proper divisors (68540292744).

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

20822961600 is a wasteful number, since it uses less digits than its factorization.

20822961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 20822961600 in words is "twenty billion, eight hundred twenty-two million, nine hundred sixty-one thousand, six hundred".