26665478912160 has 1152 divisors, whose sum is σ = 104839622334720. Its totient is φ = 6345813196800.

The previous prime is 26665478912077. The next prime is 26665478912167. The reversal of 26665478912160 is 6121987456662.

It is a super-2 number, since 2×26665478912160² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26665478912167) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 26323275814 + ... + 26323276826.

It is an arithmetic number, because the mean of its divisors is an integer number (91006616610).

Almost surely, 2^{26665478912160} is an apocalyptic number.

26665478912160 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 26665478912160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52419811167360).

26665478912160 is an abundant number, since it is smaller than the sum of its proper divisors (78174143422560).

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

26665478912160 is a wasteful number, since it uses less digits than its factorization.

26665478912160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 26665478912160 in words is "twenty-six trillion, six hundred sixty-five billion, four hundred seventy-eight million, nine hundred twelve thousand, one hundred sixty".