20778857503056 has 200 divisors, whose sum is σ = 61336421108424. Its totient is φ = 6788762772480.

The previous prime is 20778857503049. The next prime is 20778857503057. The reversal of 20778857503056 is 65030575887702.

20778857503056 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 8 + 8 + 575 + 0 + 3 + 0 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2021469742656 + 18757387760400 = 1421784^2 + 4330980^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20778857502984 and 20778857503002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20778857503057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68330226 + ... + 68633646.

Almost surely, 2^{20778857503056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20778857503056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30668210554212).

20778857503056 is an abundant number, since it is smaller than the sum of its proper divisors (40557563605368).

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

20778857503056 is a wasteful number, since it uses less digits than its factorization.

20778857503056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304491 (or 304476 counting only the distinct ones).

The product of its (nonzero) digits is 98784000, while the sum is 63.

The spelling of 20778857503056 in words is "twenty trillion, seven hundred seventy-eight billion, eight hundred fifty-seven million, five hundred three thousand, fifty-six".