20212828780800 has 864 divisors, whose sum is σ = 69347459478528. Its totient is φ = 5181221928960.

The previous prime is 20212828780769. The next prime is 20212828780819. The reversal of 20212828780800 is 808782821202.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20212828780800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27204345229 + ... + 27204345971.

Almost surely, 2^{20212828780800} is an apocalyptic number.

20212828780800 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 20212828780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34673729739264).

20212828780800 is an abundant number, since it is smaller than the sum of its proper divisors (49134630697728).

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

20212828780800 is a wasteful number, since it uses less digits than its factorization.

20212828780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The spelling of 20212828780800 in words is "twenty trillion, two hundred twelve billion, eight hundred twenty-eight million, seven hundred eighty thousand, eight hundred".