20221793596800 has 1152 divisors, whose sum is σ = 79382746366560. Its totient is φ = 5065502883840.

The previous prime is 20221793596789. The next prime is 20221793596859. The reversal of 20221793596800 is 869539712202.

20221793596800 is a `hidden beast` number, since 2 + 0 + 221 + 7 + 9 + 359 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 8896520464 + ... + 8896522736.

Almost surely, 2^{20221793596800} is an apocalyptic number.

20221793596800 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 20221793596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39691373183280).

20221793596800 is an abundant number, since it is smaller than the sum of its proper divisors (59160952769760).

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

20221793596800 is a wasteful number, since it uses less digits than its factorization.

20221793596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 20221793596800 in words is "twenty trillion, two hundred twenty-one billion, seven hundred ninety-three million, five hundred ninety-six thousand, eight hundred".