20776638960 has 1080 divisors, whose sum is σ = 92680818048. Its totient is φ = 4151347200.

The previous prime is 20776638959. The next prime is 20776639007. The reversal of 20776638960 is 6983667702.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20776638897 and 20776638906.

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 215 ways as a sum of consecutive naturals, for example, 132335202 + ... + 132335358.

Almost surely, 2^20776638960 is an apocalyptic number.

20776638960 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 20776638960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46340409024).

20776638960 is an abundant number, since it is smaller than the sum of its proper divisors (71904179088).

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

20776638960 is a wasteful number, since it uses less digits than its factorization.

20776638960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 20776638960 in words is "twenty billion, seven hundred seventy-six million, six hundred thirty-eight thousand, nine hundred sixty".