26838794880 has 512 divisors, whose sum is σ = 101356012800. Its totient is φ = 6688604160.

The previous prime is 26838794861. The next prime is 26838794891. The reversal of 26838794880 is 8849783862.

26838794880 is a `hidden beast` number, since 2 + 6 + 83 + 8 + 79 + 488 + 0 = 666.

It is a super-2 number, since 2×26838794880² (a number of 22 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 61983144 + ... + 61983576.

Almost surely, 2^26838794880 is an apocalyptic number.

26838794880 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 26838794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50678006400).

26838794880 is an abundant number, since it is smaller than the sum of its proper divisors (74517217920).

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

26838794880 is a wasteful number, since it uses less digits than its factorization.

26838794880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 26838794880 in words is "twenty-six billion, eight hundred thirty-eight million, seven hundred ninety-four thousand, eight hundred eighty".