26728999782144 has 576 divisors, whose sum is σ = 86016564264960. Its totient is φ = 7273340928000.

The previous prime is 26728999782109. The next prime is 26728999782151. The reversal of 26728999782144 is 44128799982762.

It is a super-2 number, since 2×26728999782144² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26728999782144.

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 63 ways as a sum of consecutive naturals, for example, 316056537 + ... + 316141095.

It is an arithmetic number, because the mean of its divisors is an integer number (149334312960).

Almost surely, 2^{26728999782144} is an apocalyptic number.

26728999782144 is a gapful number since it is divisible by the number (24) 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 26728999782144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43008282132480).

26728999782144 is an abundant number, since it is smaller than the sum of its proper divisors (59287564482816).

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

26728999782144 is a wasteful number, since it uses less digits than its factorization.

26728999782144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84708 (or 84694 counting only the distinct ones).

The product of its digits is 1755758592, while the sum is 78.

The spelling of 26728999782144 in words is "twenty-six trillion, seven hundred twenty-eight billion, nine hundred ninety-nine million, seven hundred eighty-two thousand, one hundred forty-four".