20777980278240 has 1344 divisors, whose sum is σ = 81307120688640. Its totient is φ = 4997327892480.

The previous prime is 20777980278233. The next prime is 20777980278241. The reversal of 20777980278240 is 4287208977702.

20777980278240 is a `hidden beast` number, since 207 + 77 + 98 + 0 + 278 + 2 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20777980278241) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3345348735 + ... + 3345354945.

It is an arithmetic number, because the mean of its divisors is an integer number (60496369560).

Almost surely, 2^{20777980278240} is an apocalyptic number.

20777980278240 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 20777980278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40653560344320).

20777980278240 is an abundant number, since it is smaller than the sum of its proper divisors (60529140410400).

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

20777980278240 is a wasteful number, since it uses less digits than its factorization.

20777980278240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6339 (or 6316 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 63.

The spelling of 20777980278240 in words is "twenty trillion, seven hundred seventy-seven billion, nine hundred eighty million, two hundred seventy-eight thousand, two hundred forty".