20176778880 has 192 divisors, whose sum is σ = 69879537000. Its totient is φ = 5364523008.

The previous prime is 20176778801. The next prime is 20176778929. The reversal of 20176778880 is 8887767102.

It can be written as a sum of positive squares in 4 ways, for example, as 16727800896 + 3448977984 = 129336^2 + 58728^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2005222 + ... + 2015258.

Almost surely, 2^20176778880 is an apocalyptic number.

20176778880 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 20176778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34939768500).

20176778880 is an abundant number, since it is smaller than the sum of its proper divisors (49702758120).

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

20176778880 is a wasteful number, since it uses less digits than its factorization.

20176778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10411 (or 10396 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 20176778880 in words is "twenty billion, one hundred seventy-six million, seven hundred seventy-eight thousand, eight hundred eighty".