20780110080 has 216 divisors, whose sum is σ = 74377419480. Its totient is φ = 5350195200.

The previous prime is 20780110079. The next prime is 20780110111. The reversal of 20780110080 is 8001108702.

It can be written as a sum of positive squares in 4 ways, for example, as 154554624 + 20625555456 = 12432^2 + 143616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302980 + ... + 365180.

It is an arithmetic number, because the mean of its divisors is an integer number (344339905).

Almost surely, 2^20780110080 is an apocalyptic number.

20780110080 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 20780110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37188709740).

20780110080 is an abundant number, since it is smaller than the sum of its proper divisors (53597309400).

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

20780110080 is a wasteful number, since it uses less digits than its factorization.

20780110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62257 (or 62240 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 20780110080 its reverse (8001108702), we get a palindrome (28781218782).

The spelling of 20780110080 in words is "twenty billion, seven hundred eighty million, one hundred ten thousand, eighty".