20782188240 has 320 divisors, whose sum is σ = 72746843904. Its totient is φ = 4864000000.

The previous prime is 20782188209. The next prime is 20782188257. The reversal of 20782188240 is 4288128702.

It is a junction number, because it is equal to n+sod(n) for n = 20782188192 and 20782188201.

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 63 ways as a sum of consecutive naturals, for example, 10931290 + ... + 10933190.

Almost surely, 2^20782188240 is an apocalyptic number.

20782188240 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 20782188240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36373421952).

20782188240 is an abundant number, since it is smaller than the sum of its proper divisors (51964655664).

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

20782188240 is a wasteful number, since it uses less digits than its factorization.

20782188240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The spelling of 20782188240 in words is "twenty billion, seven hundred eighty-two million, one hundred eighty-eight thousand, two hundred forty".