21268836776880 has 1280 divisors, whose sum is σ = 94585488998400. Its totient is φ = 4262603304960.

The previous prime is 21268836776813. The next prime is 21268836776893. The reversal of 21268836776880 is 8867763886212.

21268836776880 is a `hidden beast` number, since 2 + 126 + 8 + 8 + 367 + 7 + 68 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 21268836776799 and 21268836776808.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 6400490899 + ... + 6400494221.

It is an arithmetic number, because the mean of its divisors is an integer number (73894913280).

Almost surely, 2^{21268836776880} is an apocalyptic number.

21268836776880 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 21268836776880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47292744499200).

21268836776880 is an abundant number, since it is smaller than the sum of its proper divisors (73316652221520).

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

21268836776880 is a wasteful number, since it uses less digits than its factorization.

21268836776880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 21268836776880 in words is "twenty-one trillion, two hundred sixty-eight billion, eight hundred thirty-six million, seven hundred seventy-six thousand, eight hundred eighty".