20256778080 has 960 divisors, whose sum is σ = 91048624128. Its totient is φ = 4118999040.

The previous prime is 20256778049. The next prime is 20256778097. The reversal of 20256778080 is 8087765202.

20256778080 is a `hidden beast` number, since 2 + 0 + 2 + 567 + 7 + 8 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52889569 + ... + 52889951.

Almost surely, 2^20256778080 is an apocalyptic number.

20256778080 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 20256778080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45524312064).

20256778080 is an abundant number, since it is smaller than the sum of its proper divisors (70791846048).

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

20256778080 is a wasteful number, since it uses less digits than its factorization.

20256778080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 20256778080 in words is "twenty billion, two hundred fifty-six million, seven hundred seventy-eight thousand, eighty".