26768943452160 has 5824 divisors, whose sum is σ = 134282850347520. Its totient is φ = 4953389137920.

The previous prime is 26768943452159. The next prime is 26768943452213. The reversal of 26768943452160 is 6125434986762.

26768943452160 is a `hidden beast` number, since 2 + 6 + 7 + 6 + 8 + 9 + 43 + 4 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (5824).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 438835138530 + ... + 438835138590.

It is a 1-persistent number, because it is pandigital, but 2⋅26768943452160 = 53537886904320 is not.

Almost surely, 2^{26768943452160} is an apocalyptic number.

26768943452160 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 26768943452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67141425173760).

26768943452160 is an abundant number, since it is smaller than the sum of its proper divisors (107513906895360).

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

26768943452160 is a wasteful number, since it uses less digits than its factorization.

26768943452160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 26768943452160 in words is "twenty-six trillion, seven hundred sixty-eight billion, nine hundred forty-three million, four hundred fifty-two thousand, one hundred sixty".