26749216788480 has 312 divisors, whose sum is σ = 93449453540352. Its totient is φ = 7076951949312.

The previous prime is 26749216788407. The next prime is 26749216788499. The reversal of 26749216788480 is 8488761294762.

26749216788480 is a `hidden beast` number, since 2 + 6 + 7 + 4 + 9 + 2 + 1 + 67 + 88 + 480 = 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 = 26749216788399 and 26749216788408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22837287 + ... + 23979993.

It is an arithmetic number, because the mean of its divisors is an integer number (299517479296).

Almost surely, 2^{26749216788480} is an apocalyptic number.

26749216788480 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 26749216788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46724726770176).

26749216788480 is an abundant number, since it is smaller than the sum of its proper divisors (66700236751872).

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

26749216788480 is a wasteful number, since it uses less digits than its factorization.

26749216788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142869 (or 1142844 counting only the distinct ones).

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

The spelling of 26749216788480 in words is "twenty-six trillion, seven hundred forty-nine billion, two hundred sixteen million, seven hundred eighty-eight thousand, four hundred eighty".