20820793574400 has 528 divisors, whose sum is σ = 75212201111040. Its totient is φ = 5057033011200.

The previous prime is 20820793574323. The next prime is 20820793574401. The reversal of 20820793574400 is 447539702802.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (20820793574401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40216386 + ... + 40730814.

Almost surely, 2^{20820793574400} is an apocalyptic number.

20820793574400 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 20820793574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37606100555520).

20820793574400 is an abundant number, since it is smaller than the sum of its proper divisors (54391407536640).

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

20820793574400 is a wasteful number, since it uses less digits than its factorization.

20820793574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514510 (or 514487 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 20820793574400 in words is "twenty trillion, eight hundred twenty billion, seven hundred ninety-three million, five hundred seventy-four thousand, four hundred".