20778880483200 has 1536 divisors, whose sum is σ = 82519518412800. Its totient is φ = 4496095641600.

The previous prime is 20778880483187. The next prime is 20778880483201. The reversal of 20778880483200 is 238408887702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20778880483201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21138229909 + ... + 21138230891.

It is an arithmetic number, because the mean of its divisors is an integer number (53723644800).

Almost surely, 2^{20778880483200} is an apocalyptic number.

20778880483200 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 20778880483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41259759206400).

20778880483200 is an abundant number, since it is smaller than the sum of its proper divisors (61740637929600).

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

20778880483200 is a wasteful number, since it uses less digits than its factorization.

20778880483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 57.

The spelling of 20778880483200 in words is "twenty trillion, seven hundred seventy-eight billion, eight hundred eighty million, four hundred eighty-three thousand, two hundred".